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Finding the Fourth Proportional to 4,806.38, 6,632.43 and 2,816.66

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Solution

The fourth proportional to 4,806.38, 6,632.43 and 2,816.66 is: 3,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.38 : 6,632.43 = 2,816.66 : x
  2. Step 2: Convert to fraction form
    4,806.38/6,632.43 = 2,816.66/x
  3. Step 3: Cross multiply
    4,806.38x = 6,632.43 × 2,816.66
  4. Step 4: Simplify right side
    4,806.38x = 18,681,300.28
  5. Step 5: Solve for x
    x = 18,681,300.28/4,806.38
  6. Step 6: Final answer
    x = 3,886.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.