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Finding the Fourth Proportional to 5,166.62, 7,129.62 and 2,808.74

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Solution

The fourth proportional to 5,166.62, 7,129.62 and 2,808.74 is: 3,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.62 : 7,129.62 = 2,808.74 : x
  2. Step 2: Convert to fraction form
    5,166.62/7,129.62 = 2,808.74/x
  3. Step 3: Cross multiply
    5,166.62x = 7,129.62 × 2,808.74
  4. Step 4: Simplify right side
    5,166.62x = 20,025,213.23
  5. Step 5: Solve for x
    x = 20,025,213.23/5,166.62
  6. Step 6: Final answer
    x = 3,875.89

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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.