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Finding the Fourth Proportional to 3,834.67, 5,752.01 and 1,237.61

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Solution

The fourth proportional to 3,834.67, 5,752.01 and 1,237.61 is: 1,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.67 : 5,752.01 = 1,237.61 : x
  2. Step 2: Convert to fraction form
    3,834.67/5,752.01 = 1,237.61/x
  3. Step 3: Cross multiply
    3,834.67x = 5,752.01 × 1,237.61
  4. Step 4: Simplify right side
    3,834.67x = 7,118,710.15
  5. Step 5: Solve for x
    x = 7,118,710.15/3,834.67
  6. Step 6: Final answer
    x = 1,856.41

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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.