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Finding the Fourth Proportional to 3,877.82, 5,350.07 and 2,552.86

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Solution

The fourth proportional to 3,877.82, 5,350.07 and 2,552.86 is: 3,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.82 : 5,350.07 = 2,552.86 : x
  2. Step 2: Convert to fraction form
    3,877.82/5,350.07 = 2,552.86/x
  3. Step 3: Cross multiply
    3,877.82x = 5,350.07 × 2,552.86
  4. Step 4: Simplify right side
    3,877.82x = 13,657,972.71
  5. Step 5: Solve for x
    x = 13,657,972.71/3,877.82
  6. Step 6: Final answer
    x = 3,522.08

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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.