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Finding the Fourth Proportional to 3,664.20, 5,488.20 and 1,471.80

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Solution

The fourth proportional to 3,664.20, 5,488.20 and 1,471.80 is: 2,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.20 : 5,488.20 = 1,471.80 : x
  2. Step 2: Convert to fraction form
    3,664.20/5,488.20 = 1,471.80/x
  3. Step 3: Cross multiply
    3,664.20x = 5,488.20 × 1,471.80
  4. Step 4: Simplify right side
    3,664.20x = 8,077,532.76
  5. Step 5: Solve for x
    x = 8,077,532.76/3,664.20
  6. Step 6: Final answer
    x = 2,204.45

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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.