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Finding the Fourth Proportional to 3,790.58, 5,684.29 and 2,233.72

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Solution

The fourth proportional to 3,790.58, 5,684.29 and 2,233.72 is: 3,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.58 : 5,684.29 = 2,233.72 : x
  2. Step 2: Convert to fraction form
    3,790.58/5,684.29 = 2,233.72/x
  3. Step 3: Cross multiply
    3,790.58x = 5,684.29 × 2,233.72
  4. Step 4: Simplify right side
    3,790.58x = 12,697,112.26
  5. Step 5: Solve for x
    x = 12,697,112.26/3,790.58
  6. Step 6: Final answer
    x = 3,349.65

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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.