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Finding the Fourth Proportional to 3,873.20, 5,801.70 and 3,225.20

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Solution

The fourth proportional to 3,873.20, 5,801.70 and 3,225.20 is: 4,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.20 : 5,801.70 = 3,225.20 : x
  2. Step 2: Convert to fraction form
    3,873.20/5,801.70 = 3,225.20/x
  3. Step 3: Cross multiply
    3,873.20x = 5,801.70 × 3,225.20
  4. Step 4: Simplify right side
    3,873.20x = 18,711,642.84
  5. Step 5: Solve for x
    x = 18,711,642.84/3,873.20
  6. Step 6: Final answer
    x = 4,831.06

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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.