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Finding the Fourth Proportional to 3,706.53, 5,114.88 and 2,027.94

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Solution

The fourth proportional to 3,706.53, 5,114.88 and 2,027.94 is: 2,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.53 : 5,114.88 = 2,027.94 : x
  2. Step 2: Convert to fraction form
    3,706.53/5,114.88 = 2,027.94/x
  3. Step 3: Cross multiply
    3,706.53x = 5,114.88 × 2,027.94
  4. Step 4: Simplify right side
    3,706.53x = 10,372,669.75
  5. Step 5: Solve for x
    x = 10,372,669.75/3,706.53
  6. Step 6: Final answer
    x = 2,798.49

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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.