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Finding the Fourth Proportional to 3,917.60, 5,876.40 and 3,052.56

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Solution

The fourth proportional to 3,917.60, 5,876.40 and 3,052.56 is: 4,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.60 : 5,876.40 = 3,052.56 : x
  2. Step 2: Convert to fraction form
    3,917.60/5,876.40 = 3,052.56/x
  3. Step 3: Cross multiply
    3,917.60x = 5,876.40 × 3,052.56
  4. Step 4: Simplify right side
    3,917.60x = 17,938,063.58
  5. Step 5: Solve for x
    x = 17,938,063.58/3,917.60
  6. Step 6: Final answer
    x = 4,578.84

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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.