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Finding the Fourth Proportional to 3,171.52, 4,774.48 and 2,854

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Solution

The fourth proportional to 3,171.52, 4,774.48 and 2,854 is: 4,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.52 : 4,774.48 = 2,854 : x
  2. Step 2: Convert to fraction form
    3,171.52/4,774.48 = 2,854/x
  3. Step 3: Cross multiply
    3,171.52x = 4,774.48 × 2,854
  4. Step 4: Simplify right side
    3,171.52x = 13,626,365.92
  5. Step 5: Solve for x
    x = 13,626,365.92/3,171.52
  6. Step 6: Final answer
    x = 4,296.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.