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Finding the Fourth Proportional to 4,962.42, 7,444.98 and 4,418.37

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Solution

The fourth proportional to 4,962.42, 7,444.98 and 4,418.37 is: 6,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.42 : 7,444.98 = 4,418.37 : x
  2. Step 2: Convert to fraction form
    4,962.42/7,444.98 = 4,418.37/x
  3. Step 3: Cross multiply
    4,962.42x = 7,444.98 × 4,418.37
  4. Step 4: Simplify right side
    4,962.42x = 32,894,676.28
  5. Step 5: Solve for x
    x = 32,894,676.28/4,962.42
  6. Step 6: Final answer
    x = 6,628.76

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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.