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Finding the Fourth Proportional to 6,165.60, 8,507.86 and 3,647.85

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Solution

The fourth proportional to 6,165.60, 8,507.86 and 3,647.85 is: 5,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.60 : 8,507.86 = 3,647.85 : x
  2. Step 2: Convert to fraction form
    6,165.60/8,507.86 = 3,647.85/x
  3. Step 3: Cross multiply
    6,165.60x = 8,507.86 × 3,647.85
  4. Step 4: Simplify right side
    6,165.60x = 31,035,397.10
  5. Step 5: Solve for x
    x = 31,035,397.10/6,165.60
  6. Step 6: Final answer
    x = 5,033.64

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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.