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Finding the Fourth Proportional to 3,542.84, 5,316.80 and 2,857.78

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Solution

The fourth proportional to 3,542.84, 5,316.80 and 2,857.78 is: 4,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.84 : 5,316.80 = 2,857.78 : x
  2. Step 2: Convert to fraction form
    3,542.84/5,316.80 = 2,857.78/x
  3. Step 3: Cross multiply
    3,542.84x = 5,316.80 × 2,857.78
  4. Step 4: Simplify right side
    3,542.84x = 15,194,244.70
  5. Step 5: Solve for x
    x = 15,194,244.70/3,542.84
  6. Step 6: Final answer
    x = 4,288.72

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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.