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Finding the Fourth Proportional to 3,788,807.46, 5,682,526.53 and 1,092,469.74

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Solution

The fourth proportional to 3,788,807.46, 5,682,526.53 and 1,092,469.74 is: 1,638,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788,807.46 : 5,682,526.53 = 1,092,469.74 : x
  2. Step 2: Convert to fraction form
    3,788,807.46/5,682,526.53 = 1,092,469.74/x
  3. Step 3: Cross multiply
    3,788,807.46x = 5,682,526.53 × 1,092,469.74
  4. Step 4: Simplify right side
    3,788,807.46x = 6,207,988,280,772.20
  5. Step 5: Solve for x
    x = 6,207,988,280,772.20/3,788,807.46
  6. Step 6: Final answer
    x = 1,638,507.19

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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.