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Finding the Fourth Proportional to 5,983.76, 8,977.06 and 1,879.76

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Solution

The fourth proportional to 5,983.76, 8,977.06 and 1,879.76 is: 2,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.76 : 8,977.06 = 1,879.76 : x
  2. Step 2: Convert to fraction form
    5,983.76/8,977.06 = 1,879.76/x
  3. Step 3: Cross multiply
    5,983.76x = 8,977.06 × 1,879.76
  4. Step 4: Simplify right side
    5,983.76x = 16,874,718.31
  5. Step 5: Solve for x
    x = 16,874,718.31/5,983.76
  6. Step 6: Final answer
    x = 2,820.09

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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.