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Finding the Fourth Proportional to 5,285.85, 7,293.81 and 2,928

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Solution

The fourth proportional to 5,285.85, 7,293.81 and 2,928 is: 4,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.85 : 7,293.81 = 2,928 : x
  2. Step 2: Convert to fraction form
    5,285.85/7,293.81 = 2,928/x
  3. Step 3: Cross multiply
    5,285.85x = 7,293.81 × 2,928
  4. Step 4: Simplify right side
    5,285.85x = 21,356,275.68
  5. Step 5: Solve for x
    x = 21,356,275.68/5,285.85
  6. Step 6: Final answer
    x = 4,040.27

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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.