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Finding the Fourth Proportional to 3,704.94, 5,544.57 and 2,298.78

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Solution

The fourth proportional to 3,704.94, 5,544.57 and 2,298.78 is: 3,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.94 : 5,544.57 = 2,298.78 : x
  2. Step 2: Convert to fraction form
    3,704.94/5,544.57 = 2,298.78/x
  3. Step 3: Cross multiply
    3,704.94x = 5,544.57 × 2,298.78
  4. Step 4: Simplify right side
    3,704.94x = 12,745,746.62
  5. Step 5: Solve for x
    x = 12,745,746.62/3,704.94
  6. Step 6: Final answer
    x = 3,440.20

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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.