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Finding the Fourth Proportional to 2,987.28, 4,487.94 and 2,821.50

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Solution

The fourth proportional to 2,987.28, 4,487.94 and 2,821.50 is: 4,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.28 : 4,487.94 = 2,821.50 : x
  2. Step 2: Convert to fraction form
    2,987.28/4,487.94 = 2,821.50/x
  3. Step 3: Cross multiply
    2,987.28x = 4,487.94 × 2,821.50
  4. Step 4: Simplify right side
    2,987.28x = 12,662,722.71
  5. Step 5: Solve for x
    x = 12,662,722.71/2,987.28
  6. Step 6: Final answer
    x = 4,238.88

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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.