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Finding the Fourth Proportional to 5,166.16, 7,132.68 and 3,766.48

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Solution

The fourth proportional to 5,166.16, 7,132.68 and 3,766.48 is: 5,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.16 : 7,132.68 = 3,766.48 : x
  2. Step 2: Convert to fraction form
    5,166.16/7,132.68 = 3,766.48/x
  3. Step 3: Cross multiply
    5,166.16x = 7,132.68 × 3,766.48
  4. Step 4: Simplify right side
    5,166.16x = 26,865,096.57
  5. Step 5: Solve for x
    x = 26,865,096.57/5,166.16
  6. Step 6: Final answer
    x = 5,200.21

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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.