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Finding the Fourth Proportional to 3,548.14, 5,323.17 and 1,356.94

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Solution

The fourth proportional to 3,548.14, 5,323.17 and 1,356.94 is: 2,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.14 : 5,323.17 = 1,356.94 : x
  2. Step 2: Convert to fraction form
    3,548.14/5,323.17 = 1,356.94/x
  3. Step 3: Cross multiply
    3,548.14x = 5,323.17 × 1,356.94
  4. Step 4: Simplify right side
    3,548.14x = 7,223,222.30
  5. Step 5: Solve for x
    x = 7,223,222.30/3,548.14
  6. Step 6: Final answer
    x = 2,035.78

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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.