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Finding the Fourth Proportional to 3,831.76, 5,747.64 and 2,099.44

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Solution

The fourth proportional to 3,831.76, 5,747.64 and 2,099.44 is: 3,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.76 : 5,747.64 = 2,099.44 : x
  2. Step 2: Convert to fraction form
    3,831.76/5,747.64 = 2,099.44/x
  3. Step 3: Cross multiply
    3,831.76x = 5,747.64 × 2,099.44
  4. Step 4: Simplify right side
    3,831.76x = 12,066,825.32
  5. Step 5: Solve for x
    x = 12,066,825.32/3,831.76
  6. Step 6: Final answer
    x = 3,149.16

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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.