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Finding the Fourth Proportional to 3,889.30, 5,832.43 and 1,696.53

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Solution

The fourth proportional to 3,889.30, 5,832.43 and 1,696.53 is: 2,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.30 : 5,832.43 = 1,696.53 : x
  2. Step 2: Convert to fraction form
    3,889.30/5,832.43 = 1,696.53/x
  3. Step 3: Cross multiply
    3,889.30x = 5,832.43 × 1,696.53
  4. Step 4: Simplify right side
    3,889.30x = 9,894,892.47
  5. Step 5: Solve for x
    x = 9,894,892.47/3,889.30
  6. Step 6: Final answer
    x = 2,544.13

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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.