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Finding the Fourth Proportional to 5,549.26, 7,657.96 and 3,065.26

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Solution

The fourth proportional to 5,549.26, 7,657.96 and 3,065.26 is: 4,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.26 : 7,657.96 = 3,065.26 : x
  2. Step 2: Convert to fraction form
    5,549.26/7,657.96 = 3,065.26/x
  3. Step 3: Cross multiply
    5,549.26x = 7,657.96 × 3,065.26
  4. Step 4: Simplify right side
    5,549.26x = 23,473,638.47
  5. Step 5: Solve for x
    x = 23,473,638.47/5,549.26
  6. Step 6: Final answer
    x = 4,230.05

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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.