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Finding the Fourth Proportional to 4,806.48, 6,632.90 and 2,816.62

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Solution

The fourth proportional to 4,806.48, 6,632.90 and 2,816.62 is: 3,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.48 : 6,632.90 = 2,816.62 : x
  2. Step 2: Convert to fraction form
    4,806.48/6,632.90 = 2,816.62/x
  3. Step 3: Cross multiply
    4,806.48x = 6,632.90 × 2,816.62
  4. Step 4: Simplify right side
    4,806.48x = 18,682,358.80
  5. Step 5: Solve for x
    x = 18,682,358.80/4,806.48
  6. Step 6: Final answer
    x = 3,886.91

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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.