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Finding the Fourth Proportional to 5,489.60, 8,234.40 and 3,411.95

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Solution

The fourth proportional to 5,489.60, 8,234.40 and 3,411.95 is: 5,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.60 : 8,234.40 = 3,411.95 : x
  2. Step 2: Convert to fraction form
    5,489.60/8,234.40 = 3,411.95/x
  3. Step 3: Cross multiply
    5,489.60x = 8,234.40 × 3,411.95
  4. Step 4: Simplify right side
    5,489.60x = 28,095,361.08
  5. Step 5: Solve for x
    x = 28,095,361.08/5,489.60
  6. Step 6: Final answer
    x = 5,117.93

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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.