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Finding the Fourth Proportional to 3,549.56, 5,326.68 and 1,241

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Solution

The fourth proportional to 3,549.56, 5,326.68 and 1,241 is: 1,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.56 : 5,326.68 = 1,241 : x
  2. Step 2: Convert to fraction form
    3,549.56/5,326.68 = 1,241/x
  3. Step 3: Cross multiply
    3,549.56x = 5,326.68 × 1,241
  4. Step 4: Simplify right side
    3,549.56x = 6,610,409.88
  5. Step 5: Solve for x
    x = 6,610,409.88/3,549.56
  6. Step 6: Final answer
    x = 1,862.32

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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.