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Finding the Fourth Proportional to 8,849.52, 13,269.24 and 3,649.32

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Solution

The fourth proportional to 8,849.52, 13,269.24 and 3,649.32 is: 5,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.52 : 13,269.24 = 3,649.32 : x
  2. Step 2: Convert to fraction form
    8,849.52/13,269.24 = 3,649.32/x
  3. Step 3: Cross multiply
    8,849.52x = 13,269.24 × 3,649.32
  4. Step 4: Simplify right side
    8,849.52x = 48,423,702.92
  5. Step 5: Solve for x
    x = 48,423,702.92/8,849.52
  6. Step 6: Final answer
    x = 5,471.90

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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.