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Finding the Fourth Proportional to 5,665.88, 7,817.72 and 3,306.96

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Solution

The fourth proportional to 5,665.88, 7,817.72 and 3,306.96 is: 4,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.88 : 7,817.72 = 3,306.96 : x
  2. Step 2: Convert to fraction form
    5,665.88/7,817.72 = 3,306.96/x
  3. Step 3: Cross multiply
    5,665.88x = 7,817.72 × 3,306.96
  4. Step 4: Simplify right side
    5,665.88x = 25,852,870.80
  5. Step 5: Solve for x
    x = 25,852,870.80/5,665.88
  6. Step 6: Final answer
    x = 4,562.90

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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.