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Finding the Fourth Proportional to 3,548.96, 5,323.74 and 951.92

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Solution

The fourth proportional to 3,548.96, 5,323.74 and 951.92 is: 1,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.96 : 5,323.74 = 951.92 : x
  2. Step 2: Convert to fraction form
    3,548.96/5,323.74 = 951.92/x
  3. Step 3: Cross multiply
    3,548.96x = 5,323.74 × 951.92
  4. Step 4: Simplify right side
    3,548.96x = 5,067,774.58
  5. Step 5: Solve for x
    x = 5,067,774.58/3,548.96
  6. Step 6: Final answer
    x = 1,427.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.