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Finding the Fourth Proportional to 4,775.78, 6,592.82 and 3,185.08

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Solution

The fourth proportional to 4,775.78, 6,592.82 and 3,185.08 is: 4,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.78 : 6,592.82 = 3,185.08 : x
  2. Step 2: Convert to fraction form
    4,775.78/6,592.82 = 3,185.08/x
  3. Step 3: Cross multiply
    4,775.78x = 6,592.82 × 3,185.08
  4. Step 4: Simplify right side
    4,775.78x = 20,998,659.13
  5. Step 5: Solve for x
    x = 20,998,659.13/4,775.78
  6. Step 6: Final answer
    x = 4,396.91

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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.