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Finding the Fourth Proportional to 3,497.74, 5,249.18 and 2,575.76

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Solution

The fourth proportional to 3,497.74, 5,249.18 and 2,575.76 is: 3,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.74 : 5,249.18 = 2,575.76 : x
  2. Step 2: Convert to fraction form
    3,497.74/5,249.18 = 2,575.76/x
  3. Step 3: Cross multiply
    3,497.74x = 5,249.18 × 2,575.76
  4. Step 4: Simplify right side
    3,497.74x = 13,520,608.07
  5. Step 5: Solve for x
    x = 13,520,608.07/3,497.74
  6. Step 6: Final answer
    x = 3,865.53

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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.