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Finding the Fourth Proportional to 4,196.34, 5,831.06 and 4,150.76

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Solution

The fourth proportional to 4,196.34, 5,831.06 and 4,150.76 is: 5,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.34 : 5,831.06 = 4,150.76 : x
  2. Step 2: Convert to fraction form
    4,196.34/5,831.06 = 4,150.76/x
  3. Step 3: Cross multiply
    4,196.34x = 5,831.06 × 4,150.76
  4. Step 4: Simplify right side
    4,196.34x = 24,203,280.70
  5. Step 5: Solve for x
    x = 24,203,280.70/4,196.34
  6. Step 6: Final answer
    x = 5,767.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.