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Finding the Fourth Proportional to 3,309.92, 4,965.35 and 1,117.89

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Solution

The fourth proportional to 3,309.92, 4,965.35 and 1,117.89 is: 1,676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.92 : 4,965.35 = 1,117.89 : x
  2. Step 2: Convert to fraction form
    3,309.92/4,965.35 = 1,117.89/x
  3. Step 3: Cross multiply
    3,309.92x = 4,965.35 × 1,117.89
  4. Step 4: Simplify right side
    3,309.92x = 5,550,709.52
  5. Step 5: Solve for x
    x = 5,550,709.52/3,309.92
  6. Step 6: Final answer
    x = 1,676.99

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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.