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Finding the Fourth Proportional to 3,932.32, 5,893.68 and 1,849.60

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Solution

The fourth proportional to 3,932.32, 5,893.68 and 1,849.60 is: 2,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.32 : 5,893.68 = 1,849.60 : x
  2. Step 2: Convert to fraction form
    3,932.32/5,893.68 = 1,849.60/x
  3. Step 3: Cross multiply
    3,932.32x = 5,893.68 × 1,849.60
  4. Step 4: Simplify right side
    3,932.32x = 10,900,950.53
  5. Step 5: Solve for x
    x = 10,900,950.53/3,932.32
  6. Step 6: Final answer
    x = 2,772.14

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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.