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Finding the Fourth Proportional to 3,818.40, 5,722.20 and 2,353.20

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Solution

The fourth proportional to 3,818.40, 5,722.20 and 2,353.20 is: 3,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.40 : 5,722.20 = 2,353.20 : x
  2. Step 2: Convert to fraction form
    3,818.40/5,722.20 = 2,353.20/x
  3. Step 3: Cross multiply
    3,818.40x = 5,722.20 × 2,353.20
  4. Step 4: Simplify right side
    3,818.40x = 13,465,481.04
  5. Step 5: Solve for x
    x = 13,465,481.04/3,818.40
  6. Step 6: Final answer
    x = 3,526.47

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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.