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Finding the Fourth Proportional to 4,643.53, 6,965.39 and 1,682.24

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Solution

The fourth proportional to 4,643.53, 6,965.39 and 1,682.24 is: 2,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.53 : 6,965.39 = 1,682.24 : x
  2. Step 2: Convert to fraction form
    4,643.53/6,965.39 = 1,682.24/x
  3. Step 3: Cross multiply
    4,643.53x = 6,965.39 × 1,682.24
  4. Step 4: Simplify right side
    4,643.53x = 11,717,427.05
  5. Step 5: Solve for x
    x = 11,717,427.05/4,643.53
  6. Step 6: Final answer
    x = 2,523.39

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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.