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Finding the Fourth Proportional to 5,831.67, 8,047.92 and 3,314.21

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Solution

The fourth proportional to 5,831.67, 8,047.92 and 3,314.21 is: 4,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.67 : 8,047.92 = 3,314.21 : x
  2. Step 2: Convert to fraction form
    5,831.67/8,047.92 = 3,314.21/x
  3. Step 3: Cross multiply
    5,831.67x = 8,047.92 × 3,314.21
  4. Step 4: Simplify right side
    5,831.67x = 26,672,456.70
  5. Step 5: Solve for x
    x = 26,672,456.70/5,831.67
  6. Step 6: Final answer
    x = 4,573.73

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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.