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Finding the Fourth Proportional to 5,498.43, 8,251.02 and 4,585.29

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Solution

The fourth proportional to 5,498.43, 8,251.02 and 4,585.29 is: 6,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.43 : 8,251.02 = 4,585.29 : x
  2. Step 2: Convert to fraction form
    5,498.43/8,251.02 = 4,585.29/x
  3. Step 3: Cross multiply
    5,498.43x = 8,251.02 × 4,585.29
  4. Step 4: Simplify right side
    5,498.43x = 37,833,319.50
  5. Step 5: Solve for x
    x = 37,833,319.50/5,498.43
  6. Step 6: Final answer
    x = 6,880.75

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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.