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Finding the Fourth Proportional to 3,706.16, 5,114.97 and 2,113.38

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Solution

The fourth proportional to 3,706.16, 5,114.97 and 2,113.38 is: 2,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.16 : 5,114.97 = 2,113.38 : x
  2. Step 2: Convert to fraction form
    3,706.16/5,114.97 = 2,113.38/x
  3. Step 3: Cross multiply
    3,706.16x = 5,114.97 × 2,113.38
  4. Step 4: Simplify right side
    3,706.16x = 10,809,875.30
  5. Step 5: Solve for x
    x = 10,809,875.30/3,706.16
  6. Step 6: Final answer
    x = 2,916.74

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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.