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Finding the Fourth Proportional to 3,736.34, 5,156.02 and 2,057.74

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Solution

The fourth proportional to 3,736.34, 5,156.02 and 2,057.74 is: 2,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.34 : 5,156.02 = 2,057.74 : x
  2. Step 2: Convert to fraction form
    3,736.34/5,156.02 = 2,057.74/x
  3. Step 3: Cross multiply
    3,736.34x = 5,156.02 × 2,057.74
  4. Step 4: Simplify right side
    3,736.34x = 10,609,748.59
  5. Step 5: Solve for x
    x = 10,609,748.59/3,736.34
  6. Step 6: Final answer
    x = 2,839.61

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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.