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Finding the Fourth Proportional to 5,393.71, 8,083.75 and 2,429

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Solution

The fourth proportional to 5,393.71, 8,083.75 and 2,429 is: 3,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.71 : 8,083.75 = 2,429 : x
  2. Step 2: Convert to fraction form
    5,393.71/8,083.75 = 2,429/x
  3. Step 3: Cross multiply
    5,393.71x = 8,083.75 × 2,429
  4. Step 4: Simplify right side
    5,393.71x = 19,635,416.61
  5. Step 5: Solve for x
    x = 19,635,416.61/5,393.71
  6. Step 6: Final answer
    x = 3,640.43

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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.