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Finding the Fourth Proportional to 5,146.79, 7,102.76 and 3,129.62

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Solution

The fourth proportional to 5,146.79, 7,102.76 and 3,129.62 is: 4,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.79 : 7,102.76 = 3,129.62 : x
  2. Step 2: Convert to fraction form
    5,146.79/7,102.76 = 3,129.62/x
  3. Step 3: Cross multiply
    5,146.79x = 7,102.76 × 3,129.62
  4. Step 4: Simplify right side
    5,146.79x = 22,228,954.95
  5. Step 5: Solve for x
    x = 22,228,954.95/5,146.79
  6. Step 6: Final answer
    x = 4,318.99

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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.