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Finding the Fourth Proportional to 3,456.92, 5,186.04 and 1,117.56

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Solution

The fourth proportional to 3,456.92, 5,186.04 and 1,117.56 is: 1,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.92 : 5,186.04 = 1,117.56 : x
  2. Step 2: Convert to fraction form
    3,456.92/5,186.04 = 1,117.56/x
  3. Step 3: Cross multiply
    3,456.92x = 5,186.04 × 1,117.56
  4. Step 4: Simplify right side
    3,456.92x = 5,795,710.86
  5. Step 5: Solve for x
    x = 5,795,710.86/3,456.92
  6. Step 6: Final answer
    x = 1,676.55

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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.