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Finding the Fourth Proportional to 3,726.10, 5,589.14 and 952.78

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Solution

The fourth proportional to 3,726.10, 5,589.14 and 952.78 is: 1,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.10 : 5,589.14 = 952.78 : x
  2. Step 2: Convert to fraction form
    3,726.10/5,589.14 = 952.78/x
  3. Step 3: Cross multiply
    3,726.10x = 5,589.14 × 952.78
  4. Step 4: Simplify right side
    3,726.10x = 5,325,220.81
  5. Step 5: Solve for x
    x = 5,325,220.81/3,726.10
  6. Step 6: Final answer
    x = 1,429.17

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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.