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Finding the Fourth Proportional to 3,685.11, 5,085.81 and 2,113.17

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Solution

The fourth proportional to 3,685.11, 5,085.81 and 2,113.17 is: 2,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.11 : 5,085.81 = 2,113.17 : x
  2. Step 2: Convert to fraction form
    3,685.11/5,085.81 = 2,113.17/x
  3. Step 3: Cross multiply
    3,685.11x = 5,085.81 × 2,113.17
  4. Step 4: Simplify right side
    3,685.11x = 10,747,181.12
  5. Step 5: Solve for x
    x = 10,747,181.12/3,685.11
  6. Step 6: Final answer
    x = 2,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.