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Finding the Fourth Proportional to 4,169.38, 6,254.06 and 1,976.91

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Solution

The fourth proportional to 4,169.38, 6,254.06 and 1,976.91 is: 2,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.38 : 6,254.06 = 1,976.91 : x
  2. Step 2: Convert to fraction form
    4,169.38/6,254.06 = 1,976.91/x
  3. Step 3: Cross multiply
    4,169.38x = 6,254.06 × 1,976.91
  4. Step 4: Simplify right side
    4,169.38x = 12,363,713.35
  5. Step 5: Solve for x
    x = 12,363,713.35/4,169.38
  6. Step 6: Final answer
    x = 2,965.36

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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.