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Finding the Fourth Proportional to 3,498.75, 5,248.13 and 901.69

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Solution

The fourth proportional to 3,498.75, 5,248.13 and 901.69 is: 1,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.75 : 5,248.13 = 901.69 : x
  2. Step 2: Convert to fraction form
    3,498.75/5,248.13 = 901.69/x
  3. Step 3: Cross multiply
    3,498.75x = 5,248.13 × 901.69
  4. Step 4: Simplify right side
    3,498.75x = 4,732,168.71
  5. Step 5: Solve for x
    x = 4,732,168.71/3,498.75
  6. Step 6: Final answer
    x = 1,352.53

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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.