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Finding the Fourth Proportional to 3,712.22, 5,535.57 and 3,678.89

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Solution

The fourth proportional to 3,712.22, 5,535.57 and 3,678.89 is: 5,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.22 : 5,535.57 = 3,678.89 : x
  2. Step 2: Convert to fraction form
    3,712.22/5,535.57 = 3,678.89/x
  3. Step 3: Cross multiply
    3,712.22x = 5,535.57 × 3,678.89
  4. Step 4: Simplify right side
    3,712.22x = 20,364,707.05
  5. Step 5: Solve for x
    x = 20,364,707.05/3,712.22
  6. Step 6: Final answer
    x = 5,485.86

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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.