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Finding the Fourth Proportional to 5,549, 7,657.62 and 3,065

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Solution

The fourth proportional to 5,549, 7,657.62 and 3,065 is: 4,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549 : 7,657.62 = 3,065 : x
  2. Step 2: Convert to fraction form
    5,549/7,657.62 = 3,065/x
  3. Step 3: Cross multiply
    5,549x = 7,657.62 × 3,065
  4. Step 4: Simplify right side
    5,549x = 23,470,605.30
  5. Step 5: Solve for x
    x = 23,470,605.30/5,549
  6. Step 6: Final answer
    x = 4,229.70

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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.