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Finding the Fourth Proportional to 3,690.56, 5,531.16 and 3,651.50

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Solution

The fourth proportional to 3,690.56, 5,531.16 and 3,651.50 is: 5,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.56 : 5,531.16 = 3,651.50 : x
  2. Step 2: Convert to fraction form
    3,690.56/5,531.16 = 3,651.50/x
  3. Step 3: Cross multiply
    3,690.56x = 5,531.16 × 3,651.50
  4. Step 4: Simplify right side
    3,690.56x = 20,197,030.74
  5. Step 5: Solve for x
    x = 20,197,030.74/3,690.56
  6. Step 6: Final answer
    x = 5,472.62

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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.