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Finding the Fourth Proportional to 3,835.76, 5,752.20 and 1,238

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Solution

The fourth proportional to 3,835.76, 5,752.20 and 1,238 is: 1,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.76 : 5,752.20 = 1,238 : x
  2. Step 2: Convert to fraction form
    3,835.76/5,752.20 = 1,238/x
  3. Step 3: Cross multiply
    3,835.76x = 5,752.20 × 1,238
  4. Step 4: Simplify right side
    3,835.76x = 7,121,223.60
  5. Step 5: Solve for x
    x = 7,121,223.60/3,835.76
  6. Step 6: Final answer
    x = 1,856.54

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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.