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Finding the Fourth Proportional to 3,829.86, 5,736.71 and 1,751.61

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Solution

The fourth proportional to 3,829.86, 5,736.71 and 1,751.61 is: 2,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.86 : 5,736.71 = 1,751.61 : x
  2. Step 2: Convert to fraction form
    3,829.86/5,736.71 = 1,751.61/x
  3. Step 3: Cross multiply
    3,829.86x = 5,736.71 × 1,751.61
  4. Step 4: Simplify right side
    3,829.86x = 10,048,462.37
  5. Step 5: Solve for x
    x = 10,048,462.37/3,829.86
  6. Step 6: Final answer
    x = 2,623.72

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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.