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Finding the Fourth Proportional to 5,831.98, 8,745.72 and 2,273.65

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Solution

The fourth proportional to 5,831.98, 8,745.72 and 2,273.65 is: 3,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.98 : 8,745.72 = 2,273.65 : x
  2. Step 2: Convert to fraction form
    5,831.98/8,745.72 = 2,273.65/x
  3. Step 3: Cross multiply
    5,831.98x = 8,745.72 × 2,273.65
  4. Step 4: Simplify right side
    5,831.98x = 19,884,706.28
  5. Step 5: Solve for x
    x = 19,884,706.28/5,831.98
  6. Step 6: Final answer
    x = 3,409.60

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1.5x scale

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.