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Finding the Fourth Proportional to 5,565.87, 7,677.71 and 3,677.76

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Solution

The fourth proportional to 5,565.87, 7,677.71 and 3,677.76 is: 5,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.87 : 7,677.71 = 3,677.76 : x
  2. Step 2: Convert to fraction form
    5,565.87/7,677.71 = 3,677.76/x
  3. Step 3: Cross multiply
    5,565.87x = 7,677.71 × 3,677.76
  4. Step 4: Simplify right side
    5,565.87x = 28,236,756.34
  5. Step 5: Solve for x
    x = 28,236,756.34/5,565.87
  6. Step 6: Final answer
    x = 5,073.20

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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.