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Finding the Fourth Proportional to 4,947.68, 7,415.40 and 2,863.52

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Solution

The fourth proportional to 4,947.68, 7,415.40 and 2,863.52 is: 4,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.68 : 7,415.40 = 2,863.52 : x
  2. Step 2: Convert to fraction form
    4,947.68/7,415.40 = 2,863.52/x
  3. Step 3: Cross multiply
    4,947.68x = 7,415.40 × 2,863.52
  4. Step 4: Simplify right side
    4,947.68x = 21,234,146.21
  5. Step 5: Solve for x
    x = 21,234,146.21/4,947.68
  6. Step 6: Final answer
    x = 4,291.74

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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.