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Finding the Fourth Proportional to 5,831.96, 8,045.80 and 3,843.48

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Solution

The fourth proportional to 5,831.96, 8,045.80 and 3,843.48 is: 5,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.96 : 8,045.80 = 3,843.48 : x
  2. Step 2: Convert to fraction form
    5,831.96/8,045.80 = 3,843.48/x
  3. Step 3: Cross multiply
    5,831.96x = 8,045.80 × 3,843.48
  4. Step 4: Simplify right side
    5,831.96x = 30,923,871.38
  5. Step 5: Solve for x
    x = 30,923,871.38/5,831.96
  6. Step 6: Final answer
    x = 5,302.48

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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.