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Finding the Fourth Proportional to 3,498.14, 5,247.32 and 901.08

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Solution

The fourth proportional to 3,498.14, 5,247.32 and 901.08 is: 1,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.14 : 5,247.32 = 901.08 : x
  2. Step 2: Convert to fraction form
    3,498.14/5,247.32 = 901.08/x
  3. Step 3: Cross multiply
    3,498.14x = 5,247.32 × 901.08
  4. Step 4: Simplify right side
    3,498.14x = 4,728,250.60
  5. Step 5: Solve for x
    x = 4,728,250.60/3,498.14
  6. Step 6: Final answer
    x = 1,351.65

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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.