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Finding the Fourth Proportional to 4,874.64, 6,724.11 and 2,987.07

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Solution

The fourth proportional to 4,874.64, 6,724.11 and 2,987.07 is: 4,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.64 : 6,724.11 = 2,987.07 : x
  2. Step 2: Convert to fraction form
    4,874.64/6,724.11 = 2,987.07/x
  3. Step 3: Cross multiply
    4,874.64x = 6,724.11 × 2,987.07
  4. Step 4: Simplify right side
    4,874.64x = 20,085,387.26
  5. Step 5: Solve for x
    x = 20,085,387.26/4,874.64
  6. Step 6: Final answer
    x = 4,120.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.