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Finding the Fourth Proportional to 3,548.94, 5,323.54 and 951.82

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Solution

The fourth proportional to 3,548.94, 5,323.54 and 951.82 is: 1,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.94 : 5,323.54 = 951.82 : x
  2. Step 2: Convert to fraction form
    3,548.94/5,323.54 = 951.82/x
  3. Step 3: Cross multiply
    3,548.94x = 5,323.54 × 951.82
  4. Step 4: Simplify right side
    3,548.94x = 5,067,051.84
  5. Step 5: Solve for x
    x = 5,067,051.84/3,548.94
  6. Step 6: Final answer
    x = 1,427.76

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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.