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Finding the Fourth Proportional to 4,987.70, 7,486.14 and 2,524.22

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Solution

The fourth proportional to 4,987.70, 7,486.14 and 2,524.22 is: 3,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.70 : 7,486.14 = 2,524.22 : x
  2. Step 2: Convert to fraction form
    4,987.70/7,486.14 = 2,524.22/x
  3. Step 3: Cross multiply
    4,987.70x = 7,486.14 × 2,524.22
  4. Step 4: Simplify right side
    4,987.70x = 18,896,664.31
  5. Step 5: Solve for x
    x = 18,896,664.31/4,987.70
  6. Step 6: Final answer
    x = 3,788.65

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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.