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Finding the Fourth Proportional to 3,027.54, 4,544.03 and 1,567.71

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Solution

The fourth proportional to 3,027.54, 4,544.03 and 1,567.71 is: 2,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.54 : 4,544.03 = 1,567.71 : x
  2. Step 2: Convert to fraction form
    3,027.54/4,544.03 = 1,567.71/x
  3. Step 3: Cross multiply
    3,027.54x = 4,544.03 × 1,567.71
  4. Step 4: Simplify right side
    3,027.54x = 7,123,721.27
  5. Step 5: Solve for x
    x = 7,123,721.27/3,027.54
  6. Step 6: Final answer
    x = 2,352.97

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Why These Related Problems?

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