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Finding the Fourth Proportional to 3,686.32, 5,531.10 and 1,496.62

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Solution

The fourth proportional to 3,686.32, 5,531.10 and 1,496.62 is: 2,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.32 : 5,531.10 = 1,496.62 : x
  2. Step 2: Convert to fraction form
    3,686.32/5,531.10 = 1,496.62/x
  3. Step 3: Cross multiply
    3,686.32x = 5,531.10 × 1,496.62
  4. Step 4: Simplify right side
    3,686.32x = 8,277,954.88
  5. Step 5: Solve for x
    x = 8,277,954.88/3,686.32
  6. Step 6: Final answer
    x = 2,245.59

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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.