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Finding the Fourth Proportional to 3,087.47, 4,632.02 and 896.36

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Solution

The fourth proportional to 3,087.47, 4,632.02 and 896.36 is: 1,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.47 : 4,632.02 = 896.36 : x
  2. Step 2: Convert to fraction form
    3,087.47/4,632.02 = 896.36/x
  3. Step 3: Cross multiply
    3,087.47x = 4,632.02 × 896.36
  4. Step 4: Simplify right side
    3,087.47x = 4,151,952.97
  5. Step 5: Solve for x
    x = 4,151,952.97/3,087.47
  6. Step 6: Final answer
    x = 1,344.78

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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.