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Finding the Fourth Proportional to 3,699.97, 5,103.61 and 2,813.83

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Solution

The fourth proportional to 3,699.97, 5,103.61 and 2,813.83 is: 3,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.97 : 5,103.61 = 2,813.83 : x
  2. Step 2: Convert to fraction form
    3,699.97/5,103.61 = 2,813.83/x
  3. Step 3: Cross multiply
    3,699.97x = 5,103.61 × 2,813.83
  4. Step 4: Simplify right side
    3,699.97x = 14,360,690.93
  5. Step 5: Solve for x
    x = 14,360,690.93/3,699.97
  6. Step 6: Final answer
    x = 3,881.30

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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.