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Finding the Fourth Proportional to 3,807.90, 5,257.44 and 2,922.12

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Solution

The fourth proportional to 3,807.90, 5,257.44 and 2,922.12 is: 4,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.90 : 5,257.44 = 2,922.12 : x
  2. Step 2: Convert to fraction form
    3,807.90/5,257.44 = 2,922.12/x
  3. Step 3: Cross multiply
    3,807.90x = 5,257.44 × 2,922.12
  4. Step 4: Simplify right side
    3,807.90x = 15,362,870.57
  5. Step 5: Solve for x
    x = 15,362,870.57/3,807.90
  6. Step 6: Final answer
    x = 4,034.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.