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Finding the Fourth Proportional to 3,612.57, 4,987.50 and 2,287.41

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Solution

The fourth proportional to 3,612.57, 4,987.50 and 2,287.41 is: 3,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.57 : 4,987.50 = 2,287.41 : x
  2. Step 2: Convert to fraction form
    3,612.57/4,987.50 = 2,287.41/x
  3. Step 3: Cross multiply
    3,612.57x = 4,987.50 × 2,287.41
  4. Step 4: Simplify right side
    3,612.57x = 11,408,457.38
  5. Step 5: Solve for x
    x = 11,408,457.38/3,612.57
  6. Step 6: Final answer
    x = 3,157.99

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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.