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Finding the Fourth Proportional to 3,476.16, 5,207.04 and 2,609.28

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Solution

The fourth proportional to 3,476.16, 5,207.04 and 2,609.28 is: 3,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.16 : 5,207.04 = 2,609.28 : x
  2. Step 2: Convert to fraction form
    3,476.16/5,207.04 = 2,609.28/x
  3. Step 3: Cross multiply
    3,476.16x = 5,207.04 × 2,609.28
  4. Step 4: Simplify right side
    3,476.16x = 13,586,625.33
  5. Step 5: Solve for x
    x = 13,586,625.33/3,476.16
  6. Step 6: Final answer
    x = 3,908.52

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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.