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Finding the Fourth Proportional to 5,565.18, 8,348.04 and 4,589.50

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Solution

The fourth proportional to 5,565.18, 8,348.04 and 4,589.50 is: 6,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.18 : 8,348.04 = 4,589.50 : x
  2. Step 2: Convert to fraction form
    5,565.18/8,348.04 = 4,589.50/x
  3. Step 3: Cross multiply
    5,565.18x = 8,348.04 × 4,589.50
  4. Step 4: Simplify right side
    5,565.18x = 38,313,329.58
  5. Step 5: Solve for x
    x = 38,313,329.58/5,565.18
  6. Step 6: Final answer
    x = 6,884.47

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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.