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Finding the Fourth Proportional to 5,037.60, 6,958.16 and 3,872.80

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Solution

The fourth proportional to 5,037.60, 6,958.16 and 3,872.80 is: 5,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.60 : 6,958.16 = 3,872.80 : x
  2. Step 2: Convert to fraction form
    5,037.60/6,958.16 = 3,872.80/x
  3. Step 3: Cross multiply
    5,037.60x = 6,958.16 × 3,872.80
  4. Step 4: Simplify right side
    5,037.60x = 26,947,562.05
  5. Step 5: Solve for x
    x = 26,947,562.05/5,037.60
  6. Step 6: Final answer
    x = 5,349.29

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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.