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Finding the Fourth Proportional to 4,604.64, 6,906.96 and 2,007.28

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Solution

The fourth proportional to 4,604.64, 6,906.96 and 2,007.28 is: 3,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.64 : 6,906.96 = 2,007.28 : x
  2. Step 2: Convert to fraction form
    4,604.64/6,906.96 = 2,007.28/x
  3. Step 3: Cross multiply
    4,604.64x = 6,906.96 × 2,007.28
  4. Step 4: Simplify right side
    4,604.64x = 13,864,202.67
  5. Step 5: Solve for x
    x = 13,864,202.67/4,604.64
  6. Step 6: Final answer
    x = 3,010.92

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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.