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Finding the Fourth Proportional to 3,672.10, 5,071.07 and 3,137.84

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Solution

The fourth proportional to 3,672.10, 5,071.07 and 3,137.84 is: 4,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.10 : 5,071.07 = 3,137.84 : x
  2. Step 2: Convert to fraction form
    3,672.10/5,071.07 = 3,137.84/x
  3. Step 3: Cross multiply
    3,672.10x = 5,071.07 × 3,137.84
  4. Step 4: Simplify right side
    3,672.10x = 15,912,207.79
  5. Step 5: Solve for x
    x = 15,912,207.79/3,672.10
  6. Step 6: Final answer
    x = 4,333.27

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