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Finding the Fourth Proportional to 3,833.55, 5,752.44 and 1,885.77

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Solution

The fourth proportional to 3,833.55, 5,752.44 and 1,885.77 is: 2,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.55 : 5,752.44 = 1,885.77 : x
  2. Step 2: Convert to fraction form
    3,833.55/5,752.44 = 1,885.77/x
  3. Step 3: Cross multiply
    3,833.55x = 5,752.44 × 1,885.77
  4. Step 4: Simplify right side
    3,833.55x = 10,847,778.78
  5. Step 5: Solve for x
    x = 10,847,778.78/3,833.55
  6. Step 6: Final answer
    x = 2,829.70

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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.