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Finding the Fourth Proportional to 4,574.42, 6,845.22 and 3,841.77

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Solution

The fourth proportional to 4,574.42, 6,845.22 and 3,841.77 is: 5,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.42 : 6,845.22 = 3,841.77 : x
  2. Step 2: Convert to fraction form
    4,574.42/6,845.22 = 3,841.77/x
  3. Step 3: Cross multiply
    4,574.42x = 6,845.22 × 3,841.77
  4. Step 4: Simplify right side
    4,574.42x = 26,297,760.84
  5. Step 5: Solve for x
    x = 26,297,760.84/4,574.42
  6. Step 6: Final answer
    x = 5,748.87

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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.