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Finding the Fourth Proportional to 5,404.14, 8,107.13 and 1,706.29

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Solution

The fourth proportional to 5,404.14, 8,107.13 and 1,706.29 is: 2,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.14 : 8,107.13 = 1,706.29 : x
  2. Step 2: Convert to fraction form
    5,404.14/8,107.13 = 1,706.29/x
  3. Step 3: Cross multiply
    5,404.14x = 8,107.13 × 1,706.29
  4. Step 4: Simplify right side
    5,404.14x = 13,833,098.85
  5. Step 5: Solve for x
    x = 13,833,098.85/5,404.14
  6. Step 6: Final answer
    x = 2,559.72

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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.