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Finding the Fourth Proportional to 3,837.69, 5,752.65 and 1,496.23

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Solution

The fourth proportional to 3,837.69, 5,752.65 and 1,496.23 is: 2,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.69 : 5,752.65 = 1,496.23 : x
  2. Step 2: Convert to fraction form
    3,837.69/5,752.65 = 1,496.23/x
  3. Step 3: Cross multiply
    3,837.69x = 5,752.65 × 1,496.23
  4. Step 4: Simplify right side
    3,837.69x = 8,607,287.51
  5. Step 5: Solve for x
    x = 8,607,287.51/3,837.69
  6. Step 6: Final answer
    x = 2,242.83

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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.