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Finding the Fourth Proportional to 4,669.62, 6,424.83 and 4,081.56

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Solution

The fourth proportional to 4,669.62, 6,424.83 and 4,081.56 is: 5,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.62 : 6,424.83 = 4,081.56 : x
  2. Step 2: Convert to fraction form
    4,669.62/6,424.83 = 4,081.56/x
  3. Step 3: Cross multiply
    4,669.62x = 6,424.83 × 4,081.56
  4. Step 4: Simplify right side
    4,669.62x = 26,223,329.13
  5. Step 5: Solve for x
    x = 26,223,329.13/4,669.62
  6. Step 6: Final answer
    x = 5,615.73

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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.