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Finding the Fourth Proportional to 4,863.60, 6,715.48 and 3,742.80

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Solution

The fourth proportional to 4,863.60, 6,715.48 and 3,742.80 is: 5,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.60 : 6,715.48 = 3,742.80 : x
  2. Step 2: Convert to fraction form
    4,863.60/6,715.48 = 3,742.80/x
  3. Step 3: Cross multiply
    4,863.60x = 6,715.48 × 3,742.80
  4. Step 4: Simplify right side
    4,863.60x = 25,134,698.54
  5. Step 5: Solve for x
    x = 25,134,698.54/4,863.60
  6. Step 6: Final answer
    x = 5,167.92

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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.