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Finding the Fourth Proportional to 5,854.64, 8,771.04 and 2,929.52

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Solution

The fourth proportional to 5,854.64, 8,771.04 and 2,929.52 is: 4,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.64 : 8,771.04 = 2,929.52 : x
  2. Step 2: Convert to fraction form
    5,854.64/8,771.04 = 2,929.52/x
  3. Step 3: Cross multiply
    5,854.64x = 8,771.04 × 2,929.52
  4. Step 4: Simplify right side
    5,854.64x = 25,694,937.10
  5. Step 5: Solve for x
    x = 25,694,937.10/5,854.64
  6. Step 6: Final answer
    x = 4,388.82

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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.