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Finding the Fourth Proportional to 3,415.20, 5,122.80 and 1,471.20

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Solution

The fourth proportional to 3,415.20, 5,122.80 and 1,471.20 is: 2,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.20 : 5,122.80 = 1,471.20 : x
  2. Step 2: Convert to fraction form
    3,415.20/5,122.80 = 1,471.20/x
  3. Step 3: Cross multiply
    3,415.20x = 5,122.80 × 1,471.20
  4. Step 4: Simplify right side
    3,415.20x = 7,536,663.36
  5. Step 5: Solve for x
    x = 7,536,663.36/3,415.20
  6. Step 6: Final answer
    x = 2,206.80

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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.