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Finding the Fourth Proportional to 3,828.13, 5,742.06 and 1,231

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Solution

The fourth proportional to 3,828.13, 5,742.06 and 1,231 is: 1,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.13 : 5,742.06 = 1,231 : x
  2. Step 2: Convert to fraction form
    3,828.13/5,742.06 = 1,231/x
  3. Step 3: Cross multiply
    3,828.13x = 5,742.06 × 1,231
  4. Step 4: Simplify right side
    3,828.13x = 7,068,475.86
  5. Step 5: Solve for x
    x = 7,068,475.86/3,828.13
  6. Step 6: Final answer
    x = 1,846.46

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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.