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Finding the Fourth Proportional to 5,103.54, 7,656.12 and 2,181.87

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Solution

The fourth proportional to 5,103.54, 7,656.12 and 2,181.87 is: 3,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.54 : 7,656.12 = 2,181.87 : x
  2. Step 2: Convert to fraction form
    5,103.54/7,656.12 = 2,181.87/x
  3. Step 3: Cross multiply
    5,103.54x = 7,656.12 × 2,181.87
  4. Step 4: Simplify right side
    5,103.54x = 16,704,658.54
  5. Step 5: Solve for x
    x = 16,704,658.54/5,103.54
  6. Step 6: Final answer
    x = 3,273.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.