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Finding the Fourth Proportional to 8,438.48, 12,657.24 and 2,282

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Solution

The fourth proportional to 8,438.48, 12,657.24 and 2,282 is: 3,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.48 : 12,657.24 = 2,282 : x
  2. Step 2: Convert to fraction form
    8,438.48/12,657.24 = 2,282/x
  3. Step 3: Cross multiply
    8,438.48x = 12,657.24 × 2,282
  4. Step 4: Simplify right side
    8,438.48x = 28,883,821.68
  5. Step 5: Solve for x
    x = 28,883,821.68/8,438.48
  6. Step 6: Final answer
    x = 3,422.87

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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.