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Finding the Fourth Proportional to 4,951.68, 7,415.68 and 2,478.72

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Solution

The fourth proportional to 4,951.68, 7,415.68 and 2,478.72 is: 3,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.68 : 7,415.68 = 2,478.72 : x
  2. Step 2: Convert to fraction form
    4,951.68/7,415.68 = 2,478.72/x
  3. Step 3: Cross multiply
    4,951.68x = 7,415.68 × 2,478.72
  4. Step 4: Simplify right side
    4,951.68x = 18,381,394.33
  5. Step 5: Solve for x
    x = 18,381,394.33/4,951.68
  6. Step 6: Final answer
    x = 3,712.15

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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.