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Finding the Fourth Proportional to 3,726.64, 5,142.81 and 2,048.23

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Solution

The fourth proportional to 3,726.64, 5,142.81 and 2,048.23 is: 2,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.64 : 5,142.81 = 2,048.23 : x
  2. Step 2: Convert to fraction form
    3,726.64/5,142.81 = 2,048.23/x
  3. Step 3: Cross multiply
    3,726.64x = 5,142.81 × 2,048.23
  4. Step 4: Simplify right side
    3,726.64x = 10,533,657.73
  5. Step 5: Solve for x
    x = 10,533,657.73/3,726.64
  6. Step 6: Final answer
    x = 2,826.58

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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.