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Finding the Fourth Proportional to 5,318,070.84, 7,978,784.67 and 4,044,777.48

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Solution

The fourth proportional to 5,318,070.84, 7,978,784.67 and 4,044,777.48 is: 6,068,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318,070.84 : 7,978,784.67 = 4,044,777.48 : x
  2. Step 2: Convert to fraction form
    5,318,070.84/7,978,784.67 = 4,044,777.48/x
  3. Step 3: Cross multiply
    5,318,070.84x = 7,978,784.67 × 4,044,777.48
  4. Step 4: Simplify right side
    5,318,070.84x = 32,272,408,550,985.23
  5. Step 5: Solve for x
    x = 32,272,408,550,985.23/5,318,070.84
  6. Step 6: Final answer
    x = 6,068,442.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.