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Finding the Fourth Proportional to 5,166.14, 7,129.29 and 2,808.29

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Solution

The fourth proportional to 5,166.14, 7,129.29 and 2,808.29 is: 3,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.14 : 7,129.29 = 2,808.29 : x
  2. Step 2: Convert to fraction form
    5,166.14/7,129.29 = 2,808.29/x
  3. Step 3: Cross multiply
    5,166.14x = 7,129.29 × 2,808.29
  4. Step 4: Simplify right side
    5,166.14x = 20,021,078.17
  5. Step 5: Solve for x
    x = 20,021,078.17/5,166.14
  6. Step 6: Final answer
    x = 3,875.45

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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.