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Finding the Fourth Proportional to 3,549.64, 5,324.16 and 1,601.80

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Solution

The fourth proportional to 3,549.64, 5,324.16 and 1,601.80 is: 2,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.64 : 5,324.16 = 1,601.80 : x
  2. Step 2: Convert to fraction form
    3,549.64/5,324.16 = 1,601.80/x
  3. Step 3: Cross multiply
    3,549.64x = 5,324.16 × 1,601.80
  4. Step 4: Simplify right side
    3,549.64x = 8,528,239.49
  5. Step 5: Solve for x
    x = 8,528,239.49/3,549.64
  6. Step 6: Final answer
    x = 2,402.56

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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.