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Finding the Fourth Proportional to 4,165.08, 6,247.82 and 1,567.82

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Solution

The fourth proportional to 4,165.08, 6,247.82 and 1,567.82 is: 2,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.08 : 6,247.82 = 1,567.82 : x
  2. Step 2: Convert to fraction form
    4,165.08/6,247.82 = 1,567.82/x
  3. Step 3: Cross multiply
    4,165.08x = 6,247.82 × 1,567.82
  4. Step 4: Simplify right side
    4,165.08x = 9,795,457.15
  5. Step 5: Solve for x
    x = 9,795,457.15/4,165.08
  6. Step 6: Final answer
    x = 2,351.81

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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.