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Finding the Fourth Proportional to 3,548.31, 5,322.47 and 951.32

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Solution

The fourth proportional to 3,548.31, 5,322.47 and 951.32 is: 1,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.31 : 5,322.47 = 951.32 : x
  2. Step 2: Convert to fraction form
    3,548.31/5,322.47 = 951.32/x
  3. Step 3: Cross multiply
    3,548.31x = 5,322.47 × 951.32
  4. Step 4: Simplify right side
    3,548.31x = 5,063,340.79
  5. Step 5: Solve for x
    x = 5,063,340.79/3,548.31
  6. Step 6: Final answer
    x = 1,426.97

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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.