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Finding the Fourth Proportional to 5,208.22, 7,813.14 and 2,434.78

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Solution

The fourth proportional to 5,208.22, 7,813.14 and 2,434.78 is: 3,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.22 : 7,813.14 = 2,434.78 : x
  2. Step 2: Convert to fraction form
    5,208.22/7,813.14 = 2,434.78/x
  3. Step 3: Cross multiply
    5,208.22x = 7,813.14 × 2,434.78
  4. Step 4: Simplify right side
    5,208.22x = 19,023,277.01
  5. Step 5: Solve for x
    x = 19,023,277.01/5,208.22
  6. Step 6: Final answer
    x = 3,652.55

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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.