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Finding the Fourth Proportional to 5,798.50, 8,002.42 and 3,281.04

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Solution

The fourth proportional to 5,798.50, 8,002.42 and 3,281.04 is: 4,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.50 : 8,002.42 = 3,281.04 : x
  2. Step 2: Convert to fraction form
    5,798.50/8,002.42 = 3,281.04/x
  3. Step 3: Cross multiply
    5,798.50x = 8,002.42 × 3,281.04
  4. Step 4: Simplify right side
    5,798.50x = 26,256,251.91
  5. Step 5: Solve for x
    x = 26,256,251.91/5,798.50
  6. Step 6: Final answer
    x = 4,528.11

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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.