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Finding the Fourth Proportional to 3,647.44, 5,471.20 and 1,567.28

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Solution

The fourth proportional to 3,647.44, 5,471.20 and 1,567.28 is: 2,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.44 : 5,471.20 = 1,567.28 : x
  2. Step 2: Convert to fraction form
    3,647.44/5,471.20 = 1,567.28/x
  3. Step 3: Cross multiply
    3,647.44x = 5,471.20 × 1,567.28
  4. Step 4: Simplify right side
    3,647.44x = 8,574,902.34
  5. Step 5: Solve for x
    x = 8,574,902.34/3,647.44
  6. Step 6: Final answer
    x = 2,350.94

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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.