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Finding the Fourth Proportional to 3,549.60, 5,324.08 and 952.80

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Solution

The fourth proportional to 3,549.60, 5,324.08 and 952.80 is: 1,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.60 : 5,324.08 = 952.80 : x
  2. Step 2: Convert to fraction form
    3,549.60/5,324.08 = 952.80/x
  3. Step 3: Cross multiply
    3,549.60x = 5,324.08 × 952.80
  4. Step 4: Simplify right side
    3,549.60x = 5,072,783.42
  5. Step 5: Solve for x
    x = 5,072,783.42/3,549.60
  6. Step 6: Final answer
    x = 1,429.11

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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.