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Finding the Fourth Proportional to 5,724.36, 7,899.66 and 3,366.54

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Solution

The fourth proportional to 5,724.36, 7,899.66 and 3,366.54 is: 4,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.36 : 7,899.66 = 3,366.54 : x
  2. Step 2: Convert to fraction form
    5,724.36/7,899.66 = 3,366.54/x
  3. Step 3: Cross multiply
    5,724.36x = 7,899.66 × 3,366.54
  4. Step 4: Simplify right side
    5,724.36x = 26,594,521.38
  5. Step 5: Solve for x
    x = 26,594,521.38/5,724.36
  6. Step 6: Final answer
    x = 4,645.85

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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.