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Finding the Fourth Proportional to 5,551.71, 7,657.78 and 3,311.86

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Solution

The fourth proportional to 5,551.71, 7,657.78 and 3,311.86 is: 4,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,551.71 : 7,657.78 = 3,311.86 : x
  2. Step 2: Convert to fraction form
    5,551.71/7,657.78 = 3,311.86/x
  3. Step 3: Cross multiply
    5,551.71x = 7,657.78 × 3,311.86
  4. Step 4: Simplify right side
    5,551.71x = 25,361,488.41
  5. Step 5: Solve for x
    x = 25,361,488.41/5,551.71
  6. Step 6: Final answer
    x = 4,568.23

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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.