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Finding the Fourth Proportional to 3,155.52, 4,733.52 and 847

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Solution

The fourth proportional to 3,155.52, 4,733.52 and 847 is: 1,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.52 : 4,733.52 = 847 : x
  2. Step 2: Convert to fraction form
    3,155.52/4,733.52 = 847/x
  3. Step 3: Cross multiply
    3,155.52x = 4,733.52 × 847
  4. Step 4: Simplify right side
    3,155.52x = 4,009,291.44
  5. Step 5: Solve for x
    x = 4,009,291.44/3,155.52
  6. Step 6: Final answer
    x = 1,270.56

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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.