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Finding the Fourth Proportional to 3,913, 5,398.32 and 2,568.24

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Solution

The fourth proportional to 3,913, 5,398.32 and 2,568.24 is: 3,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913 : 5,398.32 = 2,568.24 : x
  2. Step 2: Convert to fraction form
    3,913/5,398.32 = 2,568.24/x
  3. Step 3: Cross multiply
    3,913x = 5,398.32 × 2,568.24
  4. Step 4: Simplify right side
    3,913x = 13,864,181.36
  5. Step 5: Solve for x
    x = 13,864,181.36/3,913
  6. Step 6: Final answer
    x = 3,543.11

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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.