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Finding the Fourth Proportional to 3,549.48, 5,323.50 and 952.44

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Solution

The fourth proportional to 3,549.48, 5,323.50 and 952.44 is: 1,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.48 : 5,323.50 = 952.44 : x
  2. Step 2: Convert to fraction form
    3,549.48/5,323.50 = 952.44/x
  3. Step 3: Cross multiply
    3,549.48x = 5,323.50 × 952.44
  4. Step 4: Simplify right side
    3,549.48x = 5,070,314.34
  5. Step 5: Solve for x
    x = 5,070,314.34/3,549.48
  6. Step 6: Final answer
    x = 1,428.47

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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.