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Finding the Fourth Proportional to 3,411.90, 5,117.04 and 2,315.97

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Solution

The fourth proportional to 3,411.90, 5,117.04 and 2,315.97 is: 3,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.90 : 5,117.04 = 2,315.97 : x
  2. Step 2: Convert to fraction form
    3,411.90/5,117.04 = 2,315.97/x
  3. Step 3: Cross multiply
    3,411.90x = 5,117.04 × 2,315.97
  4. Step 4: Simplify right side
    3,411.90x = 11,850,911.13
  5. Step 5: Solve for x
    x = 11,850,911.13/3,411.90
  6. Step 6: Final answer
    x = 3,473.41

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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.