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Finding the Fourth Proportional to 3,701.75, 5,525.61 and 3,234.66

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Solution

The fourth proportional to 3,701.75, 5,525.61 and 3,234.66 is: 4,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.75 : 5,525.61 = 3,234.66 : x
  2. Step 2: Convert to fraction form
    3,701.75/5,525.61 = 3,234.66/x
  3. Step 3: Cross multiply
    3,701.75x = 5,525.61 × 3,234.66
  4. Step 4: Simplify right side
    3,701.75x = 17,873,461.05
  5. Step 5: Solve for x
    x = 17,873,461.05/3,701.75
  6. Step 6: Final answer
    x = 4,828.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.