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Finding the Fourth Proportional to 3,552.48, 5,324.40 and 1,242

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Solution

The fourth proportional to 3,552.48, 5,324.40 and 1,242 is: 1,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.48 : 5,324.40 = 1,242 : x
  2. Step 2: Convert to fraction form
    3,552.48/5,324.40 = 1,242/x
  3. Step 3: Cross multiply
    3,552.48x = 5,324.40 × 1,242
  4. Step 4: Simplify right side
    3,552.48x = 6,612,904.80
  5. Step 5: Solve for x
    x = 6,612,904.80/3,552.48
  6. Step 6: Final answer
    x = 1,861.49

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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.