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Finding the Fourth Proportional to 4,199.28, 6,294.84 and 2,007.48

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Solution

The fourth proportional to 4,199.28, 6,294.84 and 2,007.48 is: 3,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.28 : 6,294.84 = 2,007.48 : x
  2. Step 2: Convert to fraction form
    4,199.28/6,294.84 = 2,007.48/x
  3. Step 3: Cross multiply
    4,199.28x = 6,294.84 × 2,007.48
  4. Step 4: Simplify right side
    4,199.28x = 12,636,765.40
  5. Step 5: Solve for x
    x = 12,636,765.40/4,199.28
  6. Step 6: Final answer
    x = 3,009.27

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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.