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Finding the Fourth Proportional to 5,639.48, 7,768.57 and 4,797.49

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Solution

The fourth proportional to 5,639.48, 7,768.57 and 4,797.49 is: 6,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.48 : 7,768.57 = 4,797.49 : x
  2. Step 2: Convert to fraction form
    5,639.48/7,768.57 = 4,797.49/x
  3. Step 3: Cross multiply
    5,639.48x = 7,768.57 × 4,797.49
  4. Step 4: Simplify right side
    5,639.48x = 37,269,598.05
  5. Step 5: Solve for x
    x = 37,269,598.05/5,639.48
  6. Step 6: Final answer
    x = 6,608.69

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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.