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Finding the Fourth Proportional to 4,261, 5,879.54 and 2,397.96

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Solution

The fourth proportional to 4,261, 5,879.54 and 2,397.96 is: 3,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261 : 5,879.54 = 2,397.96 : x
  2. Step 2: Convert to fraction form
    4,261/5,879.54 = 2,397.96/x
  3. Step 3: Cross multiply
    4,261x = 5,879.54 × 2,397.96
  4. Step 4: Simplify right side
    4,261x = 14,098,901.74
  5. Step 5: Solve for x
    x = 14,098,901.74/4,261
  6. Step 6: Final answer
    x = 3,308.82

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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.