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Finding the Fourth Proportional to 5,146.62, 7,718.70 and 2,954.22

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Solution

The fourth proportional to 5,146.62, 7,718.70 and 2,954.22 is: 4,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.62 : 7,718.70 = 2,954.22 : x
  2. Step 2: Convert to fraction form
    5,146.62/7,718.70 = 2,954.22/x
  3. Step 3: Cross multiply
    5,146.62x = 7,718.70 × 2,954.22
  4. Step 4: Simplify right side
    5,146.62x = 22,802,737.91
  5. Step 5: Solve for x
    x = 22,802,737.91/5,146.62
  6. Step 6: Final answer
    x = 4,430.62

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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.