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Finding the Fourth Proportional to 4,197.47, 5,792.97 and 2,429

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Solution

The fourth proportional to 4,197.47, 5,792.97 and 2,429 is: 3,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.47 : 5,792.97 = 2,429 : x
  2. Step 2: Convert to fraction form
    4,197.47/5,792.97 = 2,429/x
  3. Step 3: Cross multiply
    4,197.47x = 5,792.97 × 2,429
  4. Step 4: Simplify right side
    4,197.47x = 14,071,124.13
  5. Step 5: Solve for x
    x = 14,071,124.13/4,197.47
  6. Step 6: Final answer
    x = 3,352.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.