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Finding the Fourth Proportional to 5,635.88, 8,453.82 and 1,531.88

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Solution

The fourth proportional to 5,635.88, 8,453.82 and 1,531.88 is: 2,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.88 : 8,453.82 = 1,531.88 : x
  2. Step 2: Convert to fraction form
    5,635.88/8,453.82 = 1,531.88/x
  3. Step 3: Cross multiply
    5,635.88x = 8,453.82 × 1,531.88
  4. Step 4: Simplify right side
    5,635.88x = 12,950,195.51
  5. Step 5: Solve for x
    x = 12,950,195.51/5,635.88
  6. Step 6: Final answer
    x = 2,297.81

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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.