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Finding the Fourth Proportional to 5,699.94, 7,866 and 3,182.25

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Solution

The fourth proportional to 5,699.94, 7,866 and 3,182.25 is: 4,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.94 : 7,866 = 3,182.25 : x
  2. Step 2: Convert to fraction form
    5,699.94/7,866 = 3,182.25/x
  3. Step 3: Cross multiply
    5,699.94x = 7,866 × 3,182.25
  4. Step 4: Simplify right side
    5,699.94x = 25,031,578.50
  5. Step 5: Solve for x
    x = 25,031,578.50/5,699.94
  6. Step 6: Final answer
    x = 4,391.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.