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Finding the Fourth Proportional to 4,193.57, 5,789.78 and 3,750.71

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Solution

The fourth proportional to 4,193.57, 5,789.78 and 3,750.71 is: 5,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.57 : 5,789.78 = 3,750.71 : x
  2. Step 2: Convert to fraction form
    4,193.57/5,789.78 = 3,750.71/x
  3. Step 3: Cross multiply
    4,193.57x = 5,789.78 × 3,750.71
  4. Step 4: Simplify right side
    4,193.57x = 21,715,752.11
  5. Step 5: Solve for x
    x = 21,715,752.11/4,193.57
  6. Step 6: Final answer
    x = 5,178.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.