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Finding the Fourth Proportional to 3,257.92, 4,887.48 and 1,066.77

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Solution

The fourth proportional to 3,257.92, 4,887.48 and 1,066.77 is: 1,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.92 : 4,887.48 = 1,066.77 : x
  2. Step 2: Convert to fraction form
    3,257.92/4,887.48 = 1,066.77/x
  3. Step 3: Cross multiply
    3,257.92x = 4,887.48 × 1,066.77
  4. Step 4: Simplify right side
    3,257.92x = 5,213,817.04
  5. Step 5: Solve for x
    x = 5,213,817.04/3,257.92
  6. Step 6: Final answer
    x = 1,600.35

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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.