Home / 3,827.82-5,740.77-2,449.74

Finding the Fourth Proportional to 3,827.82, 5,740.77 and 2,449.74

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Solution

The fourth proportional to 3,827.82, 5,740.77 and 2,449.74 is: 3,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.82 : 5,740.77 = 2,449.74 : x
  2. Step 2: Convert to fraction form
    3,827.82/5,740.77 = 2,449.74/x
  3. Step 3: Cross multiply
    3,827.82x = 5,740.77 × 2,449.74
  4. Step 4: Simplify right side
    3,827.82x = 14,063,393.90
  5. Step 5: Solve for x
    x = 14,063,393.90/3,827.82
  6. Step 6: Final answer
    x = 3,674.00

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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.