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Finding the Fourth Proportional to 5,461.59, 7,527 and 3,966.90

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Solution

The fourth proportional to 5,461.59, 7,527 and 3,966.90 is: 5,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.59 : 7,527 = 3,966.90 : x
  2. Step 2: Convert to fraction form
    5,461.59/7,527 = 3,966.90/x
  3. Step 3: Cross multiply
    5,461.59x = 7,527 × 3,966.90
  4. Step 4: Simplify right side
    5,461.59x = 29,858,856.30
  5. Step 5: Solve for x
    x = 29,858,856.30/5,461.59
  6. Step 6: Final answer
    x = 5,467.06

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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.