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Finding the Fourth Proportional to 4,626.60, 6,378.12 and 2,857.20

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Solution

The fourth proportional to 4,626.60, 6,378.12 and 2,857.20 is: 3,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.60 : 6,378.12 = 2,857.20 : x
  2. Step 2: Convert to fraction form
    4,626.60/6,378.12 = 2,857.20/x
  3. Step 3: Cross multiply
    4,626.60x = 6,378.12 × 2,857.20
  4. Step 4: Simplify right side
    4,626.60x = 18,223,564.46
  5. Step 5: Solve for x
    x = 18,223,564.46/4,626.60
  6. Step 6: Final answer
    x = 3,938.87

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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.