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Finding the Fourth Proportional to 3,661.43, 5,487.35 and 1,471.68

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Solution

The fourth proportional to 3,661.43, 5,487.35 and 1,471.68 is: 2,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.43 : 5,487.35 = 1,471.68 : x
  2. Step 2: Convert to fraction form
    3,661.43/5,487.35 = 1,471.68/x
  3. Step 3: Cross multiply
    3,661.43x = 5,487.35 × 1,471.68
  4. Step 4: Simplify right side
    3,661.43x = 8,075,615.89
  5. Step 5: Solve for x
    x = 8,075,615.89/3,661.43
  6. Step 6: Final answer
    x = 2,205.59

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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.