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Finding the Fourth Proportional to 3,546.05, 5,318.46 and 948.38

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Solution

The fourth proportional to 3,546.05, 5,318.46 and 948.38 is: 1,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.05 : 5,318.46 = 948.38 : x
  2. Step 2: Convert to fraction form
    3,546.05/5,318.46 = 948.38/x
  3. Step 3: Cross multiply
    3,546.05x = 5,318.46 × 948.38
  4. Step 4: Simplify right side
    3,546.05x = 5,043,894.50
  5. Step 5: Solve for x
    x = 5,043,894.50/3,546.05
  6. Step 6: Final answer
    x = 1,422.40

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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.