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Finding the Fourth Proportional to 3,423.66, 5,134.13 and 1,201.83

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Solution

The fourth proportional to 3,423.66, 5,134.13 and 1,201.83 is: 1,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.66 : 5,134.13 = 1,201.83 : x
  2. Step 2: Convert to fraction form
    3,423.66/5,134.13 = 1,201.83/x
  3. Step 3: Cross multiply
    3,423.66x = 5,134.13 × 1,201.83
  4. Step 4: Simplify right side
    3,423.66x = 6,170,351.46
  5. Step 5: Solve for x
    x = 6,170,351.46/3,423.66
  6. Step 6: Final answer
    x = 1,802.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.