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Finding the Fourth Proportional to 5,243, 7,862.82 and 1,732.19

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Solution

The fourth proportional to 5,243, 7,862.82 and 1,732.19 is: 2,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243 : 7,862.82 = 1,732.19 : x
  2. Step 2: Convert to fraction form
    5,243/7,862.82 = 1,732.19/x
  3. Step 3: Cross multiply
    5,243x = 7,862.82 × 1,732.19
  4. Step 4: Simplify right side
    5,243x = 13,619,898.18
  5. Step 5: Solve for x
    x = 13,619,898.18/5,243
  6. Step 6: Final answer
    x = 2,597.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.