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Finding the Fourth Proportional to 5,652.06, 8,474.98 and 4,489.50

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Solution

The fourth proportional to 5,652.06, 8,474.98 and 4,489.50 is: 6,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.06 : 8,474.98 = 4,489.50 : x
  2. Step 2: Convert to fraction form
    5,652.06/8,474.98 = 4,489.50/x
  3. Step 3: Cross multiply
    5,652.06x = 8,474.98 × 4,489.50
  4. Step 4: Simplify right side
    5,652.06x = 38,048,422.71
  5. Step 5: Solve for x
    x = 38,048,422.71/5,652.06
  6. Step 6: Final answer
    x = 6,731.78

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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.