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Finding the Fourth Proportional to 3,723.76, 5,138.77 and 2,045.19

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Solution

The fourth proportional to 3,723.76, 5,138.77 and 2,045.19 is: 2,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.76 : 5,138.77 = 2,045.19 : x
  2. Step 2: Convert to fraction form
    3,723.76/5,138.77 = 2,045.19/x
  3. Step 3: Cross multiply
    3,723.76x = 5,138.77 × 2,045.19
  4. Step 4: Simplify right side
    3,723.76x = 10,509,761.02
  5. Step 5: Solve for x
    x = 10,509,761.02/3,723.76
  6. Step 6: Final answer
    x = 2,822.35

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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.