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Finding the Fourth Proportional to 5,285.87, 7,294.73 and 2,928.01

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Solution

The fourth proportional to 5,285.87, 7,294.73 and 2,928.01 is: 4,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.87 : 7,294.73 = 2,928.01 : x
  2. Step 2: Convert to fraction form
    5,285.87/7,294.73 = 2,928.01/x
  3. Step 3: Cross multiply
    5,285.87x = 7,294.73 × 2,928.01
  4. Step 4: Simplify right side
    5,285.87x = 21,359,027.75
  5. Step 5: Solve for x
    x = 21,359,027.75/5,285.87
  6. Step 6: Final answer
    x = 4,040.78

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Why These Related Problems?

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