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Finding the Fourth Proportional to 4,102.98, 5,661.86 and 2,424

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Solution

The fourth proportional to 4,102.98, 5,661.86 and 2,424 is: 3,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.98 : 5,661.86 = 2,424 : x
  2. Step 2: Convert to fraction form
    4,102.98/5,661.86 = 2,424/x
  3. Step 3: Cross multiply
    4,102.98x = 5,661.86 × 2,424
  4. Step 4: Simplify right side
    4,102.98x = 13,724,348.64
  5. Step 5: Solve for x
    x = 13,724,348.64/4,102.98
  6. Step 6: Final answer
    x = 3,344.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.