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Finding the Fourth Proportional to 3,551.70, 5,327.28 and 1,471.17

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Solution

The fourth proportional to 3,551.70, 5,327.28 and 1,471.17 is: 2,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.70 : 5,327.28 = 1,471.17 : x
  2. Step 2: Convert to fraction form
    3,551.70/5,327.28 = 1,471.17/x
  3. Step 3: Cross multiply
    3,551.70x = 5,327.28 × 1,471.17
  4. Step 4: Simplify right side
    3,551.70x = 7,837,334.52
  5. Step 5: Solve for x
    x = 7,837,334.52/3,551.70
  6. Step 6: Final answer
    x = 2,206.64

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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.