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Finding the Fourth Proportional to 3,562.40, 5,338.20 and 2,406.80

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Solution

The fourth proportional to 3,562.40, 5,338.20 and 2,406.80 is: 3,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.40 : 5,338.20 = 2,406.80 : x
  2. Step 2: Convert to fraction form
    3,562.40/5,338.20 = 2,406.80/x
  3. Step 3: Cross multiply
    3,562.40x = 5,338.20 × 2,406.80
  4. Step 4: Simplify right side
    3,562.40x = 12,847,979.76
  5. Step 5: Solve for x
    x = 12,847,979.76/3,562.40
  6. Step 6: Final answer
    x = 3,606.55

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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.