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Finding the Fourth Proportional to 3,836.34, 5,753.10 and 1,370.49

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Solution

The fourth proportional to 3,836.34, 5,753.10 and 1,370.49 is: 2,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.34 : 5,753.10 = 1,370.49 : x
  2. Step 2: Convert to fraction form
    3,836.34/5,753.10 = 1,370.49/x
  3. Step 3: Cross multiply
    3,836.34x = 5,753.10 × 1,370.49
  4. Step 4: Simplify right side
    3,836.34x = 7,884,566.02
  5. Step 5: Solve for x
    x = 7,884,566.02/3,836.34
  6. Step 6: Final answer
    x = 2,055.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.