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Finding the Fourth Proportional to 5,971.57, 8,959.16 and 2,411.86

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Solution

The fourth proportional to 5,971.57, 8,959.16 and 2,411.86 is: 3,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.57 : 8,959.16 = 2,411.86 : x
  2. Step 2: Convert to fraction form
    5,971.57/8,959.16 = 2,411.86/x
  3. Step 3: Cross multiply
    5,971.57x = 8,959.16 × 2,411.86
  4. Step 4: Simplify right side
    5,971.57x = 21,608,227.58
  5. Step 5: Solve for x
    x = 21,608,227.58/5,971.57
  6. Step 6: Final answer
    x = 3,618.52

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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.