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Finding the Fourth Proportional to 6,544.78, 9,817.85 and 3,774.58

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Solution

The fourth proportional to 6,544.78, 9,817.85 and 3,774.58 is: 5,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.78 : 9,817.85 = 3,774.58 : x
  2. Step 2: Convert to fraction form
    6,544.78/9,817.85 = 3,774.58/x
  3. Step 3: Cross multiply
    6,544.78x = 9,817.85 × 3,774.58
  4. Step 4: Simplify right side
    6,544.78x = 37,058,245.14
  5. Step 5: Solve for x
    x = 37,058,245.14/6,544.78
  6. Step 6: Final answer
    x = 5,662.26

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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.