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Finding the Fourth Proportional to 4,143.98, 6,215.98 and 3,412.02

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Solution

The fourth proportional to 4,143.98, 6,215.98 and 3,412.02 is: 5,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.98 : 6,215.98 = 3,412.02 : x
  2. Step 2: Convert to fraction form
    4,143.98/6,215.98 = 3,412.02/x
  3. Step 3: Cross multiply
    4,143.98x = 6,215.98 × 3,412.02
  4. Step 4: Simplify right side
    4,143.98x = 21,209,048.08
  5. Step 5: Solve for x
    x = 21,209,048.08/4,143.98
  6. Step 6: Final answer
    x = 5,118.04

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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.