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Finding the Fourth Proportional to 3,862.95, 5,331.66 and 2,184.39

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Solution

The fourth proportional to 3,862.95, 5,331.66 and 2,184.39 is: 3,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.95 : 5,331.66 = 2,184.39 : x
  2. Step 2: Convert to fraction form
    3,862.95/5,331.66 = 2,184.39/x
  3. Step 3: Cross multiply
    3,862.95x = 5,331.66 × 2,184.39
  4. Step 4: Simplify right side
    3,862.95x = 11,646,424.79
  5. Step 5: Solve for x
    x = 11,646,424.79/3,862.95
  6. Step 6: Final answer
    x = 3,014.90

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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.