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Finding the Fourth Proportional to 8,649.50, 12,983.50 and 3,721.58

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Solution

The fourth proportional to 8,649.50, 12,983.50 and 3,721.58 is: 5,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.50 : 12,983.50 = 3,721.58 : x
  2. Step 2: Convert to fraction form
    8,649.50/12,983.50 = 3,721.58/x
  3. Step 3: Cross multiply
    8,649.50x = 12,983.50 × 3,721.58
  4. Step 4: Simplify right side
    8,649.50x = 48,319,133.93
  5. Step 5: Solve for x
    x = 48,319,133.93/8,649.50
  6. Step 6: Final answer
    x = 5,586.35

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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.