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Finding the Fourth Proportional to 5,287.00, 7,295.77 and 2,896.53

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Solution

The fourth proportional to 5,287.00, 7,295.77 and 2,896.53 is: 3,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.00 : 7,295.77 = 2,896.53 : x
  2. Step 2: Convert to fraction form
    5,287.00/7,295.77 = 2,896.53/x
  3. Step 3: Cross multiply
    5,287.00x = 7,295.77 × 2,896.53
  4. Step 4: Simplify right side
    5,287.00x = 21,132,382.08
  5. Step 5: Solve for x
    x = 21,132,382.08/5,287.00
  6. Step 6: Final answer
    x = 3,997.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.