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Finding the Fourth Proportional to 5,404.14, 7,461.15 and 4,411.78

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Solution

The fourth proportional to 5,404.14, 7,461.15 and 4,411.78 is: 6,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.14 : 7,461.15 = 4,411.78 : x
  2. Step 2: Convert to fraction form
    5,404.14/7,461.15 = 4,411.78/x
  3. Step 3: Cross multiply
    5,404.14x = 7,461.15 × 4,411.78
  4. Step 4: Simplify right side
    5,404.14x = 32,916,952.35
  5. Step 5: Solve for x
    x = 32,916,952.35/5,404.14
  6. Step 6: Final answer
    x = 6,091.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.