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Finding the Fourth Proportional to 3,726.06, 5,588.82 and 952.62

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Solution

The fourth proportional to 3,726.06, 5,588.82 and 952.62 is: 1,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.06 : 5,588.82 = 952.62 : x
  2. Step 2: Convert to fraction form
    3,726.06/5,588.82 = 952.62/x
  3. Step 3: Cross multiply
    3,726.06x = 5,588.82 × 952.62
  4. Step 4: Simplify right side
    3,726.06x = 5,324,021.71
  5. Step 5: Solve for x
    x = 5,324,021.71/3,726.06
  6. Step 6: Final answer
    x = 1,428.86

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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.