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Finding the Fourth Proportional to 3,257.52, 4,887 and 1,795.92

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Solution

The fourth proportional to 3,257.52, 4,887 and 1,795.92 is: 2,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.52 : 4,887 = 1,795.92 : x
  2. Step 2: Convert to fraction form
    3,257.52/4,887 = 1,795.92/x
  3. Step 3: Cross multiply
    3,257.52x = 4,887 × 1,795.92
  4. Step 4: Simplify right side
    3,257.52x = 8,776,661.04
  5. Step 5: Solve for x
    x = 8,776,661.04/3,257.52
  6. Step 6: Final answer
    x = 2,694.28

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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.