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Finding the Fourth Proportional to 5,640.16, 7,781.04 and 3,777.76

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Solution

The fourth proportional to 5,640.16, 7,781.04 and 3,777.76 is: 5,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.16 : 7,781.04 = 3,777.76 : x
  2. Step 2: Convert to fraction form
    5,640.16/7,781.04 = 3,777.76/x
  3. Step 3: Cross multiply
    5,640.16x = 7,781.04 × 3,777.76
  4. Step 4: Simplify right side
    5,640.16x = 29,394,901.67
  5. Step 5: Solve for x
    x = 29,394,901.67/5,640.16
  6. Step 6: Final answer
    x = 5,211.71

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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.