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Finding the Fourth Proportional to 5,634.30, 8,439.30 and 4,662.30

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Solution

The fourth proportional to 5,634.30, 8,439.30 and 4,662.30 is: 6,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.30 : 8,439.30 = 4,662.30 : x
  2. Step 2: Convert to fraction form
    5,634.30/8,439.30 = 4,662.30/x
  3. Step 3: Cross multiply
    5,634.30x = 8,439.30 × 4,662.30
  4. Step 4: Simplify right side
    5,634.30x = 39,346,548.39
  5. Step 5: Solve for x
    x = 39,346,548.39/5,634.30
  6. Step 6: Final answer
    x = 6,983.40

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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.