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Finding the Fourth Proportional to 3,498.62, 5,232.26 and 3,111.03

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Solution

The fourth proportional to 3,498.62, 5,232.26 and 3,111.03 is: 4,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.62 : 5,232.26 = 3,111.03 : x
  2. Step 2: Convert to fraction form
    3,498.62/5,232.26 = 3,111.03/x
  3. Step 3: Cross multiply
    3,498.62x = 5,232.26 × 3,111.03
  4. Step 4: Simplify right side
    3,498.62x = 16,277,725.61
  5. Step 5: Solve for x
    x = 16,277,725.61/3,498.62
  6. Step 6: Final answer
    x = 4,652.62

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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.