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Finding the Fourth Proportional to 5,871.71, 8,102.95 and 3,219.06

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Solution

The fourth proportional to 5,871.71, 8,102.95 and 3,219.06 is: 4,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.71 : 8,102.95 = 3,219.06 : x
  2. Step 2: Convert to fraction form
    5,871.71/8,102.95 = 3,219.06/x
  3. Step 3: Cross multiply
    5,871.71x = 8,102.95 × 3,219.06
  4. Step 4: Simplify right side
    5,871.71x = 26,083,825.62
  5. Step 5: Solve for x
    x = 26,083,825.62/5,871.71
  6. Step 6: Final answer
    x = 4,442.29

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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.