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Finding the Fourth Proportional to 5,635.62, 7,777.29 and 3,117.90

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Solution

The fourth proportional to 5,635.62, 7,777.29 and 3,117.90 is: 4,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.62 : 7,777.29 = 3,117.90 : x
  2. Step 2: Convert to fraction form
    5,635.62/7,777.29 = 3,117.90/x
  3. Step 3: Cross multiply
    5,635.62x = 7,777.29 × 3,117.90
  4. Step 4: Simplify right side
    5,635.62x = 24,248,812.49
  5. Step 5: Solve for x
    x = 24,248,812.49/5,635.62
  6. Step 6: Final answer
    x = 4,302.78

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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.