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Finding the Fourth Proportional to 3,971.74, 5,959.71 and 2,885.08

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Solution

The fourth proportional to 3,971.74, 5,959.71 and 2,885.08 is: 4,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.74 : 5,959.71 = 2,885.08 : x
  2. Step 2: Convert to fraction form
    3,971.74/5,959.71 = 2,885.08/x
  3. Step 3: Cross multiply
    3,971.74x = 5,959.71 × 2,885.08
  4. Step 4: Simplify right side
    3,971.74x = 17,194,240.13
  5. Step 5: Solve for x
    x = 17,194,240.13/3,971.74
  6. Step 6: Final answer
    x = 4,329.15

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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.