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Finding the Fourth Proportional to 3,812.68, 5,259.64 and 2,398.12

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Solution

The fourth proportional to 3,812.68, 5,259.64 and 2,398.12 is: 3,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.68 : 5,259.64 = 2,398.12 : x
  2. Step 2: Convert to fraction form
    3,812.68/5,259.64 = 2,398.12/x
  3. Step 3: Cross multiply
    3,812.68x = 5,259.64 × 2,398.12
  4. Step 4: Simplify right side
    3,812.68x = 12,613,247.88
  5. Step 5: Solve for x
    x = 12,613,247.88/3,812.68
  6. Step 6: Final answer
    x = 3,308.24

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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.