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Finding the Fourth Proportional to 5,977.90, 8,960.04 and 2,853.46

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Solution

The fourth proportional to 5,977.90, 8,960.04 and 2,853.46 is: 4,276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.90 : 8,960.04 = 2,853.46 : x
  2. Step 2: Convert to fraction form
    5,977.90/8,960.04 = 2,853.46/x
  3. Step 3: Cross multiply
    5,977.90x = 8,960.04 × 2,853.46
  4. Step 4: Simplify right side
    5,977.90x = 25,567,115.74
  5. Step 5: Solve for x
    x = 25,567,115.74/5,977.90
  6. Step 6: Final answer
    x = 4,276.94

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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.