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Finding the Fourth Proportional to 5,985.48, 8,976.24 and 2,863.74

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Solution

The fourth proportional to 5,985.48, 8,976.24 and 2,863.74 is: 4,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.48 : 8,976.24 = 2,863.74 : x
  2. Step 2: Convert to fraction form
    5,985.48/8,976.24 = 2,863.74/x
  3. Step 3: Cross multiply
    5,985.48x = 8,976.24 × 2,863.74
  4. Step 4: Simplify right side
    5,985.48x = 25,705,617.54
  5. Step 5: Solve for x
    x = 25,705,617.54/5,985.48
  6. Step 6: Final answer
    x = 4,294.66

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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.