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Finding the Fourth Proportional to 4,048.14, 6,079.14 and 2,414.91

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Solution

The fourth proportional to 4,048.14, 6,079.14 and 2,414.91 is: 3,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.14 : 6,079.14 = 2,414.91 : x
  2. Step 2: Convert to fraction form
    4,048.14/6,079.14 = 2,414.91/x
  3. Step 3: Cross multiply
    4,048.14x = 6,079.14 × 2,414.91
  4. Step 4: Simplify right side
    4,048.14x = 14,680,575.98
  5. Step 5: Solve for x
    x = 14,680,575.98/4,048.14
  6. Step 6: Final answer
    x = 3,626.50

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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.