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Finding the Fourth Proportional to 3,560.92, 4,915.98 and 2,384

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Solution

The fourth proportional to 3,560.92, 4,915.98 and 2,384 is: 3,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.92 : 4,915.98 = 2,384 : x
  2. Step 2: Convert to fraction form
    3,560.92/4,915.98 = 2,384/x
  3. Step 3: Cross multiply
    3,560.92x = 4,915.98 × 2,384
  4. Step 4: Simplify right side
    3,560.92x = 11,719,696.32
  5. Step 5: Solve for x
    x = 11,719,696.32/3,560.92
  6. Step 6: Final answer
    x = 3,291.20

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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.