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Finding the Fourth Proportional to 5,896.23, 8,844.32 and 1,513.68

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Solution

The fourth proportional to 5,896.23, 8,844.32 and 1,513.68 is: 2,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.23 : 8,844.32 = 1,513.68 : x
  2. Step 2: Convert to fraction form
    5,896.23/8,844.32 = 1,513.68/x
  3. Step 3: Cross multiply
    5,896.23x = 8,844.32 × 1,513.68
  4. Step 4: Simplify right side
    5,896.23x = 13,387,470.30
  5. Step 5: Solve for x
    x = 13,387,470.30/5,896.23
  6. Step 6: Final answer
    x = 2,270.51

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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.