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Finding the Fourth Proportional to 5,212.78, 7,816.08 and 2,094.24

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Solution

The fourth proportional to 5,212.78, 7,816.08 and 2,094.24 is: 3,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.78 : 7,816.08 = 2,094.24 : x
  2. Step 2: Convert to fraction form
    5,212.78/7,816.08 = 2,094.24/x
  3. Step 3: Cross multiply
    5,212.78x = 7,816.08 × 2,094.24
  4. Step 4: Simplify right side
    5,212.78x = 16,368,747.38
  5. Step 5: Solve for x
    x = 16,368,747.38/5,212.78
  6. Step 6: Final answer
    x = 3,140.12

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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.