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Finding the Fourth Proportional to 5,296.26, 7,309.17 and 3,058.55

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Solution

The fourth proportional to 5,296.26, 7,309.17 and 3,058.55 is: 4,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.26 : 7,309.17 = 3,058.55 : x
  2. Step 2: Convert to fraction form
    5,296.26/7,309.17 = 3,058.55/x
  3. Step 3: Cross multiply
    5,296.26x = 7,309.17 × 3,058.55
  4. Step 4: Simplify right side
    5,296.26x = 22,355,461.90
  5. Step 5: Solve for x
    x = 22,355,461.90/5,296.26
  6. Step 6: Final answer
    x = 4,220.99

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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.