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Finding the Fourth Proportional to 3,823.01, 5,735.39 and 1,357.83

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Solution

The fourth proportional to 3,823.01, 5,735.39 and 1,357.83 is: 2,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.01 : 5,735.39 = 1,357.83 : x
  2. Step 2: Convert to fraction form
    3,823.01/5,735.39 = 1,357.83/x
  3. Step 3: Cross multiply
    3,823.01x = 5,735.39 × 1,357.83
  4. Step 4: Simplify right side
    3,823.01x = 7,787,685.45
  5. Step 5: Solve for x
    x = 7,787,685.45/3,823.01
  6. Step 6: Final answer
    x = 2,037.05

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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.