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Finding the Fourth Proportional to 5,630.18, 7,767.16 and 3,390.73

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Solution

The fourth proportional to 5,630.18, 7,767.16 and 3,390.73 is: 4,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.18 : 7,767.16 = 3,390.73 : x
  2. Step 2: Convert to fraction form
    5,630.18/7,767.16 = 3,390.73/x
  3. Step 3: Cross multiply
    5,630.18x = 7,767.16 × 3,390.73
  4. Step 4: Simplify right side
    5,630.18x = 26,336,314.53
  5. Step 5: Solve for x
    x = 26,336,314.53/5,630.18
  6. Step 6: Final answer
    x = 4,677.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.