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Finding the Fourth Proportional to 5,976.76, 8,966.34 and 2,514

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Solution

The fourth proportional to 5,976.76, 8,966.34 and 2,514 is: 3,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.76 : 8,966.34 = 2,514 : x
  2. Step 2: Convert to fraction form
    5,976.76/8,966.34 = 2,514/x
  3. Step 3: Cross multiply
    5,976.76x = 8,966.34 × 2,514
  4. Step 4: Simplify right side
    5,976.76x = 22,541,378.76
  5. Step 5: Solve for x
    x = 22,541,378.76/5,976.76
  6. Step 6: Final answer
    x = 3,771.50

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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.