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Finding the Fourth Proportional to 5,285.88, 7,928.73 and 1,588.14

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Solution

The fourth proportional to 5,285.88, 7,928.73 and 1,588.14 is: 2,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.88 : 7,928.73 = 1,588.14 : x
  2. Step 2: Convert to fraction form
    5,285.88/7,928.73 = 1,588.14/x
  3. Step 3: Cross multiply
    5,285.88x = 7,928.73 × 1,588.14
  4. Step 4: Simplify right side
    5,285.88x = 12,591,933.26
  5. Step 5: Solve for x
    x = 12,591,933.26/5,285.88
  6. Step 6: Final answer
    x = 2,382.18

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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.