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Finding the Fourth Proportional to 5,616.37, 7,750.26 and 3,098.49

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Solution

The fourth proportional to 5,616.37, 7,750.26 and 3,098.49 is: 4,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.37 : 7,750.26 = 3,098.49 : x
  2. Step 2: Convert to fraction form
    5,616.37/7,750.26 = 3,098.49/x
  3. Step 3: Cross multiply
    5,616.37x = 7,750.26 × 3,098.49
  4. Step 4: Simplify right side
    5,616.37x = 24,014,074.04
  5. Step 5: Solve for x
    x = 24,014,074.04/5,616.37
  6. Step 6: Final answer
    x = 4,275.73

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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.