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Finding the Fourth Proportional to 3,949.32, 5,922.72 and 3,690.50

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Solution

The fourth proportional to 3,949.32, 5,922.72 and 3,690.50 is: 5,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.32 : 5,922.72 = 3,690.50 : x
  2. Step 2: Convert to fraction form
    3,949.32/5,922.72 = 3,690.50/x
  3. Step 3: Cross multiply
    3,949.32x = 5,922.72 × 3,690.50
  4. Step 4: Simplify right side
    3,949.32x = 21,857,798.16
  5. Step 5: Solve for x
    x = 21,857,798.16/3,949.32
  6. Step 6: Final answer
    x = 5,534.57

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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.