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Finding the Fourth Proportional to 5,666.20, 7,816.20 and 3,306.88

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Solution

The fourth proportional to 5,666.20, 7,816.20 and 3,306.88 is: 4,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.20 : 7,816.20 = 3,306.88 : x
  2. Step 2: Convert to fraction form
    5,666.20/7,816.20 = 3,306.88/x
  3. Step 3: Cross multiply
    5,666.20x = 7,816.20 × 3,306.88
  4. Step 4: Simplify right side
    5,666.20x = 25,847,235.46
  5. Step 5: Solve for x
    x = 25,847,235.46/5,666.20
  6. Step 6: Final answer
    x = 4,561.65

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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.