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Finding the Fourth Proportional to 5,670.81, 8,521.25 and 3,040.25

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Solution

The fourth proportional to 5,670.81, 8,521.25 and 3,040.25 is: 4,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.81 : 8,521.25 = 3,040.25 : x
  2. Step 2: Convert to fraction form
    5,670.81/8,521.25 = 3,040.25/x
  3. Step 3: Cross multiply
    5,670.81x = 8,521.25 × 3,040.25
  4. Step 4: Simplify right side
    5,670.81x = 25,906,737.54
  5. Step 5: Solve for x
    x = 25,906,737.54/5,670.81
  6. Step 6: Final answer
    x = 4,568.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.