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Finding the Fourth Proportional to 3,726.70, 5,142.93 and 2,048.20

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Solution

The fourth proportional to 3,726.70, 5,142.93 and 2,048.20 is: 2,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.70 : 5,142.93 = 2,048.20 : x
  2. Step 2: Convert to fraction form
    3,726.70/5,142.93 = 2,048.20/x
  3. Step 3: Cross multiply
    3,726.70x = 5,142.93 × 2,048.20
  4. Step 4: Simplify right side
    3,726.70x = 10,533,749.23
  5. Step 5: Solve for x
    x = 10,533,749.23/3,726.70
  6. Step 6: Final answer
    x = 2,826.56

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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.