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Finding the Fourth Proportional to 5,129.17, 7,708.18 and 3,049.54

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Solution

The fourth proportional to 5,129.17, 7,708.18 and 3,049.54 is: 4,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.17 : 7,708.18 = 3,049.54 : x
  2. Step 2: Convert to fraction form
    5,129.17/7,708.18 = 3,049.54/x
  3. Step 3: Cross multiply
    5,129.17x = 7,708.18 × 3,049.54
  4. Step 4: Simplify right side
    5,129.17x = 23,506,403.24
  5. Step 5: Solve for x
    x = 23,506,403.24/5,129.17
  6. Step 6: Final answer
    x = 4,582.89

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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.