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Finding the Fourth Proportional to 4,524.60, 6,781.22 and 2,577.90

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Solution

The fourth proportional to 4,524.60, 6,781.22 and 2,577.90 is: 3,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.60 : 6,781.22 = 2,577.90 : x
  2. Step 2: Convert to fraction form
    4,524.60/6,781.22 = 2,577.90/x
  3. Step 3: Cross multiply
    4,524.60x = 6,781.22 × 2,577.90
  4. Step 4: Simplify right side
    4,524.60x = 17,481,307.04
  5. Step 5: Solve for x
    x = 17,481,307.04/4,524.60
  6. Step 6: Final answer
    x = 3,863.61

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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.