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Finding the Fourth Proportional to 3,932.96, 5,899.84 and 1,011.29

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Solution

The fourth proportional to 3,932.96, 5,899.84 and 1,011.29 is: 1,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.96 : 5,899.84 = 1,011.29 : x
  2. Step 2: Convert to fraction form
    3,932.96/5,899.84 = 1,011.29/x
  3. Step 3: Cross multiply
    3,932.96x = 5,899.84 × 1,011.29
  4. Step 4: Simplify right side
    3,932.96x = 5,966,417.17
  5. Step 5: Solve for x
    x = 5,966,417.17/3,932.96
  6. Step 6: Final answer
    x = 1,517.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.