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Finding the Fourth Proportional to 4,620.66, 6,378.81 and 2,853.24

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Solution

The fourth proportional to 4,620.66, 6,378.81 and 2,853.24 is: 3,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.66 : 6,378.81 = 2,853.24 : x
  2. Step 2: Convert to fraction form
    4,620.66/6,378.81 = 2,853.24/x
  3. Step 3: Cross multiply
    4,620.66x = 6,378.81 × 2,853.24
  4. Step 4: Simplify right side
    4,620.66x = 18,200,275.84
  5. Step 5: Solve for x
    x = 18,200,275.84/4,620.66
  6. Step 6: Final answer
    x = 3,938.89

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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.