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Finding the Fourth Proportional to 6,515.77, 8,991.75 and 3,531.59

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Solution

The fourth proportional to 6,515.77, 8,991.75 and 3,531.59 is: 4,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.77 : 8,991.75 = 3,531.59 : x
  2. Step 2: Convert to fraction form
    6,515.77/8,991.75 = 3,531.59/x
  3. Step 3: Cross multiply
    6,515.77x = 8,991.75 × 3,531.59
  4. Step 4: Simplify right side
    6,515.77x = 31,755,174.38
  5. Step 5: Solve for x
    x = 31,755,174.38/6,515.77
  6. Step 6: Final answer
    x = 4,873.59

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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.