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Finding the Fourth Proportional to 5,488.39, 8,213.45 and 4,489.66

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Solution

The fourth proportional to 5,488.39, 8,213.45 and 4,489.66 is: 6,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.39 : 8,213.45 = 4,489.66 : x
  2. Step 2: Convert to fraction form
    5,488.39/8,213.45 = 4,489.66/x
  3. Step 3: Cross multiply
    5,488.39x = 8,213.45 × 4,489.66
  4. Step 4: Simplify right side
    5,488.39x = 36,875,597.93
  5. Step 5: Solve for x
    x = 36,875,597.93/5,488.39
  6. Step 6: Final answer
    x = 6,718.84

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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.