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Finding the Fourth Proportional to 5,272.68, 7,898.06 and 3,074.74

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Solution

The fourth proportional to 5,272.68, 7,898.06 and 3,074.74 is: 4,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.68 : 7,898.06 = 3,074.74 : x
  2. Step 2: Convert to fraction form
    5,272.68/7,898.06 = 3,074.74/x
  3. Step 3: Cross multiply
    5,272.68x = 7,898.06 × 3,074.74
  4. Step 4: Simplify right side
    5,272.68x = 24,284,481.00
  5. Step 5: Solve for x
    x = 24,284,481.00/5,272.68
  6. Step 6: Final answer
    x = 4,605.72

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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.