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Finding the Fourth Proportional to 5,724.33, 7,898.61 and 3,334.69

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Solution

The fourth proportional to 5,724.33, 7,898.61 and 3,334.69 is: 4,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.33 : 7,898.61 = 3,334.69 : x
  2. Step 2: Convert to fraction form
    5,724.33/7,898.61 = 3,334.69/x
  3. Step 3: Cross multiply
    5,724.33x = 7,898.61 × 3,334.69
  4. Step 4: Simplify right side
    5,724.33x = 26,339,415.78
  5. Step 5: Solve for x
    x = 26,339,415.78/5,724.33
  6. Step 6: Final answer
    x = 4,601.31

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1.5x scale

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.