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Finding the Fourth Proportional to 3,835.42, 5,753.11 and 1,062.08

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Solution

The fourth proportional to 3,835.42, 5,753.11 and 1,062.08 is: 1,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.42 : 5,753.11 = 1,062.08 : x
  2. Step 2: Convert to fraction form
    3,835.42/5,753.11 = 1,062.08/x
  3. Step 3: Cross multiply
    3,835.42x = 5,753.11 × 1,062.08
  4. Step 4: Simplify right side
    3,835.42x = 6,110,255.21
  5. Step 5: Solve for x
    x = 6,110,255.21/3,835.42
  6. Step 6: Final answer
    x = 1,593.11

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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.