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Finding the Fourth Proportional to 3,398.90, 4,678.43 and 2,513.16

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Solution

The fourth proportional to 3,398.90, 4,678.43 and 2,513.16 is: 3,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.90 : 4,678.43 = 2,513.16 : x
  2. Step 2: Convert to fraction form
    3,398.90/4,678.43 = 2,513.16/x
  3. Step 3: Cross multiply
    3,398.90x = 4,678.43 × 2,513.16
  4. Step 4: Simplify right side
    3,398.90x = 11,757,630.57
  5. Step 5: Solve for x
    x = 11,757,630.57/3,398.90
  6. Step 6: Final answer
    x = 3,459.25

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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.