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Finding the Fourth Proportional to 5,143.74, 7,710.71 and 2,022.71

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Solution

The fourth proportional to 5,143.74, 7,710.71 and 2,022.71 is: 3,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.74 : 7,710.71 = 2,022.71 : x
  2. Step 2: Convert to fraction form
    5,143.74/7,710.71 = 2,022.71/x
  3. Step 3: Cross multiply
    5,143.74x = 7,710.71 × 2,022.71
  4. Step 4: Simplify right side
    5,143.74x = 15,596,481.56
  5. Step 5: Solve for x
    x = 15,596,481.56/5,143.74
  6. Step 6: Final answer
    x = 3,032.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.