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Finding the Fourth Proportional to 4,567.34, 6,297.19 and 3,727.19

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Solution

The fourth proportional to 4,567.34, 6,297.19 and 3,727.19 is: 5,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.34 : 6,297.19 = 3,727.19 : x
  2. Step 2: Convert to fraction form
    4,567.34/6,297.19 = 3,727.19/x
  3. Step 3: Cross multiply
    4,567.34x = 6,297.19 × 3,727.19
  4. Step 4: Simplify right side
    4,567.34x = 23,470,773.47
  5. Step 5: Solve for x
    x = 23,470,773.47/4,567.34
  6. Step 6: Final answer
    x = 5,138.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.