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Finding the Fourth Proportional to 3,655.91, 5,043.77 and 2,083.16

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Solution

The fourth proportional to 3,655.91, 5,043.77 and 2,083.16 is: 2,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.91 : 5,043.77 = 2,083.16 : x
  2. Step 2: Convert to fraction form
    3,655.91/5,043.77 = 2,083.16/x
  3. Step 3: Cross multiply
    3,655.91x = 5,043.77 × 2,083.16
  4. Step 4: Simplify right side
    3,655.91x = 10,506,944.28
  5. Step 5: Solve for x
    x = 10,506,944.28/3,655.91
  6. Step 6: Final answer
    x = 2,873.97

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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.