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Finding the Fourth Proportional to 3,959.74, 5,463.84 and 2,365.90

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Solution

The fourth proportional to 3,959.74, 5,463.84 and 2,365.90 is: 3,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.74 : 5,463.84 = 2,365.90 : x
  2. Step 2: Convert to fraction form
    3,959.74/5,463.84 = 2,365.90/x
  3. Step 3: Cross multiply
    3,959.74x = 5,463.84 × 2,365.90
  4. Step 4: Simplify right side
    3,959.74x = 12,926,899.06
  5. Step 5: Solve for x
    x = 12,926,899.06/3,959.74
  6. Step 6: Final answer
    x = 3,264.58

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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.