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Finding the Fourth Proportional to 4,261, 5,879.65 and 2,468.46

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Solution

The fourth proportional to 4,261, 5,879.65 and 2,468.46 is: 3,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261 : 5,879.65 = 2,468.46 : x
  2. Step 2: Convert to fraction form
    4,261/5,879.65 = 2,468.46/x
  3. Step 3: Cross multiply
    4,261x = 5,879.65 × 2,468.46
  4. Step 4: Simplify right side
    4,261x = 14,513,651.44
  5. Step 5: Solve for x
    x = 14,513,651.44/4,261
  6. Step 6: Final answer
    x = 3,406.16

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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.