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Finding the Fourth Proportional to 3,546.12, 5,318.54 and 948.44

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Solution

The fourth proportional to 3,546.12, 5,318.54 and 948.44 is: 1,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.12 : 5,318.54 = 948.44 : x
  2. Step 2: Convert to fraction form
    3,546.12/5,318.54 = 948.44/x
  3. Step 3: Cross multiply
    3,546.12x = 5,318.54 × 948.44
  4. Step 4: Simplify right side
    3,546.12x = 5,044,316.08
  5. Step 5: Solve for x
    x = 5,044,316.08/3,546.12
  6. Step 6: Final answer
    x = 1,422.49

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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.