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Finding the Fourth Proportional to 5,223.53, 7,832.71 and 1,665.19

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Solution

The fourth proportional to 5,223.53, 7,832.71 and 1,665.19 is: 2,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.53 : 7,832.71 = 1,665.19 : x
  2. Step 2: Convert to fraction form
    5,223.53/7,832.71 = 1,665.19/x
  3. Step 3: Cross multiply
    5,223.53x = 7,832.71 × 1,665.19
  4. Step 4: Simplify right side
    5,223.53x = 13,042,950.36
  5. Step 5: Solve for x
    x = 13,042,950.36/5,223.53
  6. Step 6: Final answer
    x = 2,496.96

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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.