Home / 3,827.61-5,283.50-2,257.02

Finding the Fourth Proportional to 3,827.61, 5,283.50 and 2,257.02

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Solution

The fourth proportional to 3,827.61, 5,283.50 and 2,257.02 is: 3,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.61 : 5,283.50 = 2,257.02 : x
  2. Step 2: Convert to fraction form
    3,827.61/5,283.50 = 2,257.02/x
  3. Step 3: Cross multiply
    3,827.61x = 5,283.50 × 2,257.02
  4. Step 4: Simplify right side
    3,827.61x = 11,924,953.88
  5. Step 5: Solve for x
    x = 11,924,953.88/3,827.61
  6. Step 6: Final answer
    x = 3,115.51

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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.