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Finding the Fourth Proportional to 5,778.09, 7,974.30 and 3,420.58

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Solution

The fourth proportional to 5,778.09, 7,974.30 and 3,420.58 is: 4,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.09 : 7,974.30 = 3,420.58 : x
  2. Step 2: Convert to fraction form
    5,778.09/7,974.30 = 3,420.58/x
  3. Step 3: Cross multiply
    5,778.09x = 7,974.30 × 3,420.58
  4. Step 4: Simplify right side
    5,778.09x = 27,276,731.09
  5. Step 5: Solve for x
    x = 27,276,731.09/5,778.09
  6. Step 6: Final answer
    x = 4,720.72

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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.