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Finding the Fourth Proportional to 5,456.66, 7,536 and 4,286.66

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Solution

The fourth proportional to 5,456.66, 7,536 and 4,286.66 is: 5,920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.66 : 7,536 = 4,286.66 : x
  2. Step 2: Convert to fraction form
    5,456.66/7,536 = 4,286.66/x
  3. Step 3: Cross multiply
    5,456.66x = 7,536 × 4,286.66
  4. Step 4: Simplify right side
    5,456.66x = 32,304,269.76
  5. Step 5: Solve for x
    x = 32,304,269.76/5,456.66
  6. Step 6: Final answer
    x = 5,920.15

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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.