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Finding the Fourth Proportional to 3,706.32, 5,114.43 and 2,134.53

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Solution

The fourth proportional to 3,706.32, 5,114.43 and 2,134.53 is: 2,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.32 : 5,114.43 = 2,134.53 : x
  2. Step 2: Convert to fraction form
    3,706.32/5,114.43 = 2,134.53/x
  3. Step 3: Cross multiply
    3,706.32x = 5,114.43 × 2,134.53
  4. Step 4: Simplify right side
    3,706.32x = 10,916,904.27
  5. Step 5: Solve for x
    x = 10,916,904.27/3,706.32
  6. Step 6: Final answer
    x = 2,945.48

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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.