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Finding the Fourth Proportional to 5,758.92, 8,627.45 and 2,981.43

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Solution

The fourth proportional to 5,758.92, 8,627.45 and 2,981.43 is: 4,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.92 : 8,627.45 = 2,981.43 : x
  2. Step 2: Convert to fraction form
    5,758.92/8,627.45 = 2,981.43/x
  3. Step 3: Cross multiply
    5,758.92x = 8,627.45 × 2,981.43
  4. Step 4: Simplify right side
    5,758.92x = 25,722,123.35
  5. Step 5: Solve for x
    x = 25,722,123.35/5,758.92
  6. Step 6: Final answer
    x = 4,466.48

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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.