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Finding the Fourth Proportional to 5,886.24, 8,123.03 and 3,197.47

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Solution

The fourth proportional to 5,886.24, 8,123.03 and 3,197.47 is: 4,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.24 : 8,123.03 = 3,197.47 : x
  2. Step 2: Convert to fraction form
    5,886.24/8,123.03 = 3,197.47/x
  3. Step 3: Cross multiply
    5,886.24x = 8,123.03 × 3,197.47
  4. Step 4: Simplify right side
    5,886.24x = 25,973,144.73
  5. Step 5: Solve for x
    x = 25,973,144.73/5,886.24
  6. Step 6: Final answer
    x = 4,412.52

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