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Finding the Fourth Proportional to 3,354.14, 5,032.17 and 1,045.66

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Solution

The fourth proportional to 3,354.14, 5,032.17 and 1,045.66 is: 1,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.14 : 5,032.17 = 1,045.66 : x
  2. Step 2: Convert to fraction form
    3,354.14/5,032.17 = 1,045.66/x
  3. Step 3: Cross multiply
    3,354.14x = 5,032.17 × 1,045.66
  4. Step 4: Simplify right side
    3,354.14x = 5,261,938.88
  5. Step 5: Solve for x
    x = 5,261,938.88/3,354.14
  6. Step 6: Final answer
    x = 1,568.79

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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.