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Finding the Fourth Proportional to 5,781.96, 8,677.80 and 2,497.56

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Solution

The fourth proportional to 5,781.96, 8,677.80 and 2,497.56 is: 3,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.96 : 8,677.80 = 2,497.56 : x
  2. Step 2: Convert to fraction form
    5,781.96/8,677.80 = 2,497.56/x
  3. Step 3: Cross multiply
    5,781.96x = 8,677.80 × 2,497.56
  4. Step 4: Simplify right side
    5,781.96x = 21,673,326.17
  5. Step 5: Solve for x
    x = 21,673,326.17/5,781.96
  6. Step 6: Final answer
    x = 3,748.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.