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Finding the Fourth Proportional to 3,723.52, 5,138.52 and 2,045.00

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Solution

The fourth proportional to 3,723.52, 5,138.52 and 2,045.00 is: 2,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.52 : 5,138.52 = 2,045.00 : x
  2. Step 2: Convert to fraction form
    3,723.52/5,138.52 = 2,045.00/x
  3. Step 3: Cross multiply
    3,723.52x = 5,138.52 × 2,045.00
  4. Step 4: Simplify right side
    3,723.52x = 10,508,237.48
  5. Step 5: Solve for x
    x = 10,508,237.48/3,723.52
  6. Step 6: Final answer
    x = 2,822.12

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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.