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Finding the Fourth Proportional to 4,242, 5,853.79 and 2,449.45

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Solution

The fourth proportional to 4,242, 5,853.79 and 2,449.45 is: 3,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242 : 5,853.79 = 2,449.45 : x
  2. Step 2: Convert to fraction form
    4,242/5,853.79 = 2,449.45/x
  3. Step 3: Cross multiply
    4,242x = 5,853.79 × 2,449.45
  4. Step 4: Simplify right side
    4,242x = 14,338,565.92
  5. Step 5: Solve for x
    x = 14,338,565.92/4,242
  6. Step 6: Final answer
    x = 3,380.14

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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.