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Finding the Fourth Proportional to 3,911.65, 5,397.94 and 2,143.24

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Solution

The fourth proportional to 3,911.65, 5,397.94 and 2,143.24 is: 2,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.65 : 5,397.94 = 2,143.24 : x
  2. Step 2: Convert to fraction form
    3,911.65/5,397.94 = 2,143.24/x
  3. Step 3: Cross multiply
    3,911.65x = 5,397.94 × 2,143.24
  4. Step 4: Simplify right side
    3,911.65x = 11,569,080.93
  5. Step 5: Solve for x
    x = 11,569,080.93/3,911.65
  6. Step 6: Final answer
    x = 2,957.60

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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.