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Finding the Fourth Proportional to 3,773.69, 5,204.28 and 2,357.51

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Solution

The fourth proportional to 3,773.69, 5,204.28 and 2,357.51 is: 3,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.69 : 5,204.28 = 2,357.51 : x
  2. Step 2: Convert to fraction form
    3,773.69/5,204.28 = 2,357.51/x
  3. Step 3: Cross multiply
    3,773.69x = 5,204.28 × 2,357.51
  4. Step 4: Simplify right side
    3,773.69x = 12,269,142.14
  5. Step 5: Solve for x
    x = 12,269,142.14/3,773.69
  6. Step 6: Final answer
    x = 3,251.23

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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.