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Finding the Fourth Proportional to 3,784,735.80, 5,678,415.90 and 1,656,347.40

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Solution

The fourth proportional to 3,784,735.80, 5,678,415.90 and 1,656,347.40 is: 2,485,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,735.80 : 5,678,415.90 = 1,656,347.40 : x
  2. Step 2: Convert to fraction form
    3,784,735.80/5,678,415.90 = 1,656,347.40/x
  3. Step 3: Cross multiply
    3,784,735.80x = 5,678,415.90 × 1,656,347.40
  4. Step 4: Simplify right side
    3,784,735.80x = 9,405,429,412,083.66
  5. Step 5: Solve for x
    x = 9,405,429,412,083.66/3,784,735.80
  6. Step 6: Final answer
    x = 2,485,095.37

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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.