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Finding the Fourth Proportional to 5,643.17, 8,464.67 and 1,539.17

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Solution

The fourth proportional to 5,643.17, 8,464.67 and 1,539.17 is: 2,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.17 : 8,464.67 = 1,539.17 : x
  2. Step 2: Convert to fraction form
    5,643.17/8,464.67 = 1,539.17/x
  3. Step 3: Cross multiply
    5,643.17x = 8,464.67 × 1,539.17
  4. Step 4: Simplify right side
    5,643.17x = 13,028,558.43
  5. Step 5: Solve for x
    x = 13,028,558.43/5,643.17
  6. Step 6: Final answer
    x = 2,308.73

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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.