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Finding the Fourth Proportional to 5,675.67, 7,832.38 and 3,123.58

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Solution

The fourth proportional to 5,675.67, 7,832.38 and 3,123.58 is: 4,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.67 : 7,832.38 = 3,123.58 : x
  2. Step 2: Convert to fraction form
    5,675.67/7,832.38 = 3,123.58/x
  3. Step 3: Cross multiply
    5,675.67x = 7,832.38 × 3,123.58
  4. Step 4: Simplify right side
    5,675.67x = 24,465,030.26
  5. Step 5: Solve for x
    x = 24,465,030.26/5,675.67
  6. Step 6: Final answer
    x = 4,310.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.