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Finding the Fourth Proportional to 3,920.52, 5,875.62 and 1,840.20

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Solution

The fourth proportional to 3,920.52, 5,875.62 and 1,840.20 is: 2,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.52 : 5,875.62 = 1,840.20 : x
  2. Step 2: Convert to fraction form
    3,920.52/5,875.62 = 1,840.20/x
  3. Step 3: Cross multiply
    3,920.52x = 5,875.62 × 1,840.20
  4. Step 4: Simplify right side
    3,920.52x = 10,812,315.92
  5. Step 5: Solve for x
    x = 10,812,315.92/3,920.52
  6. Step 6: Final answer
    x = 2,757.88

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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.