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Finding the Fourth Proportional to 4,204.28, 6,309.24 and 1,468.28

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Solution

The fourth proportional to 4,204.28, 6,309.24 and 1,468.28 is: 2,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.28 : 6,309.24 = 1,468.28 : x
  2. Step 2: Convert to fraction form
    4,204.28/6,309.24 = 1,468.28/x
  3. Step 3: Cross multiply
    4,204.28x = 6,309.24 × 1,468.28
  4. Step 4: Simplify right side
    4,204.28x = 9,263,730.91
  5. Step 5: Solve for x
    x = 9,263,730.91/4,204.28
  6. Step 6: Final answer
    x = 2,203.40

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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.