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Finding the Fourth Proportional to 4,204.87, 6,308.41 and 2,097.11

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Solution

The fourth proportional to 4,204.87, 6,308.41 and 2,097.11 is: 3,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.87 : 6,308.41 = 2,097.11 : x
  2. Step 2: Convert to fraction form
    4,204.87/6,308.41 = 2,097.11/x
  3. Step 3: Cross multiply
    4,204.87x = 6,308.41 × 2,097.11
  4. Step 4: Simplify right side
    4,204.87x = 13,229,444.16
  5. Step 5: Solve for x
    x = 13,229,444.16/4,204.87
  6. Step 6: Final answer
    x = 3,146.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.