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Finding the Fourth Proportional to 3,676.59, 5,071.93 and 2,103.75

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Solution

The fourth proportional to 3,676.59, 5,071.93 and 2,103.75 is: 2,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.59 : 5,071.93 = 2,103.75 : x
  2. Step 2: Convert to fraction form
    3,676.59/5,071.93 = 2,103.75/x
  3. Step 3: Cross multiply
    3,676.59x = 5,071.93 × 2,103.75
  4. Step 4: Simplify right side
    3,676.59x = 10,670,067.48
  5. Step 5: Solve for x
    x = 10,670,067.48/3,676.59
  6. Step 6: Final answer
    x = 2,902.16

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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.