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Finding the Fourth Proportional to 5,686.68, 8,524.98 and 2,221.32

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Solution

The fourth proportional to 5,686.68, 8,524.98 and 2,221.32 is: 3,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.68 : 8,524.98 = 2,221.32 : x
  2. Step 2: Convert to fraction form
    5,686.68/8,524.98 = 2,221.32/x
  3. Step 3: Cross multiply
    5,686.68x = 8,524.98 × 2,221.32
  4. Step 4: Simplify right side
    5,686.68x = 18,936,708.57
  5. Step 5: Solve for x
    x = 18,936,708.57/5,686.68
  6. Step 6: Final answer
    x = 3,330.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.