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Finding the Fourth Proportional to 3,823.06, 5,735.12 and 1,357.29

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Solution

The fourth proportional to 3,823.06, 5,735.12 and 1,357.29 is: 2,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.06 : 5,735.12 = 1,357.29 : x
  2. Step 2: Convert to fraction form
    3,823.06/5,735.12 = 1,357.29/x
  3. Step 3: Cross multiply
    3,823.06x = 5,735.12 × 1,357.29
  4. Step 4: Simplify right side
    3,823.06x = 7,784,221.02
  5. Step 5: Solve for x
    x = 7,784,221.02/3,823.06
  6. Step 6: Final answer
    x = 2,036.12

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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.