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Finding the Fourth Proportional to 3,700.67, 5,524.01 and 3,233.58

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Solution

The fourth proportional to 3,700.67, 5,524.01 and 3,233.58 is: 4,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.67 : 5,524.01 = 3,233.58 : x
  2. Step 2: Convert to fraction form
    3,700.67/5,524.01 = 3,233.58/x
  3. Step 3: Cross multiply
    3,700.67x = 5,524.01 × 3,233.58
  4. Step 4: Simplify right side
    3,700.67x = 17,862,298.28
  5. Step 5: Solve for x
    x = 17,862,298.28/3,700.67
  6. Step 6: Final answer
    x = 4,826.78

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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.