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Finding the Fourth Proportional to 3,549.88, 5,321.24 and 1,471.02

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Solution

The fourth proportional to 3,549.88, 5,321.24 and 1,471.02 is: 2,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.88 : 5,321.24 = 1,471.02 : x
  2. Step 2: Convert to fraction form
    3,549.88/5,321.24 = 1,471.02/x
  3. Step 3: Cross multiply
    3,549.88x = 5,321.24 × 1,471.02
  4. Step 4: Simplify right side
    3,549.88x = 7,827,650.46
  5. Step 5: Solve for x
    x = 7,827,650.46/3,549.88
  6. Step 6: Final answer
    x = 2,205.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.