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Finding the Fourth Proportional to 5,663.81, 7,816.55 and 3,306.71

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Solution

The fourth proportional to 5,663.81, 7,816.55 and 3,306.71 is: 4,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.81 : 7,816.55 = 3,306.71 : x
  2. Step 2: Convert to fraction form
    5,663.81/7,816.55 = 3,306.71/x
  3. Step 3: Cross multiply
    5,663.81x = 7,816.55 × 3,306.71
  4. Step 4: Simplify right side
    5,663.81x = 25,847,064.05
  5. Step 5: Solve for x
    x = 25,847,064.05/5,663.81
  6. Step 6: Final answer
    x = 4,563.55

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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.