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Finding the Fourth Proportional to 6,165.35, 8,507.52 and 3,647.55

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Solution

The fourth proportional to 6,165.35, 8,507.52 and 3,647.55 is: 5,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.35 : 8,507.52 = 3,647.55 : x
  2. Step 2: Convert to fraction form
    6,165.35/8,507.52 = 3,647.55/x
  3. Step 3: Cross multiply
    6,165.35x = 8,507.52 × 3,647.55
  4. Step 4: Simplify right side
    6,165.35x = 31,031,604.58
  5. Step 5: Solve for x
    x = 31,031,604.58/6,165.35
  6. Step 6: Final answer
    x = 5,033.23

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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.