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Finding the Fourth Proportional to 3,406.92, 5,110.77 and 1,215.87

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Solution

The fourth proportional to 3,406.92, 5,110.77 and 1,215.87 is: 1,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.92 : 5,110.77 = 1,215.87 : x
  2. Step 2: Convert to fraction form
    3,406.92/5,110.77 = 1,215.87/x
  3. Step 3: Cross multiply
    3,406.92x = 5,110.77 × 1,215.87
  4. Step 4: Simplify right side
    3,406.92x = 6,214,031.92
  5. Step 5: Solve for x
    x = 6,214,031.92/3,406.92
  6. Step 6: Final answer
    x = 1,823.94

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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.