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Finding the Fourth Proportional to 5,706.30, 7,874.18 and 3,188.08

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Solution

The fourth proportional to 5,706.30, 7,874.18 and 3,188.08 is: 4,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.30 : 7,874.18 = 3,188.08 : x
  2. Step 2: Convert to fraction form
    5,706.30/7,874.18 = 3,188.08/x
  3. Step 3: Cross multiply
    5,706.30x = 7,874.18 × 3,188.08
  4. Step 4: Simplify right side
    5,706.30x = 25,103,515.77
  5. Step 5: Solve for x
    x = 25,103,515.77/5,706.30
  6. Step 6: Final answer
    x = 4,399.26

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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.