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Finding the Fourth Proportional to 4,244.14, 6,368.04 and 2,297.71

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Solution

The fourth proportional to 4,244.14, 6,368.04 and 2,297.71 is: 3,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.14 : 6,368.04 = 2,297.71 : x
  2. Step 2: Convert to fraction form
    4,244.14/6,368.04 = 2,297.71/x
  3. Step 3: Cross multiply
    4,244.14x = 6,368.04 × 2,297.71
  4. Step 4: Simplify right side
    4,244.14x = 14,631,909.19
  5. Step 5: Solve for x
    x = 14,631,909.19/4,244.14
  6. Step 6: Final answer
    x = 3,447.56

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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.