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Finding the Fourth Proportional to 5,886.48, 8,123.04 and 3,233.82

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Solution

The fourth proportional to 5,886.48, 8,123.04 and 3,233.82 is: 4,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.48 : 8,123.04 = 3,233.82 : x
  2. Step 2: Convert to fraction form
    5,886.48/8,123.04 = 3,233.82/x
  3. Step 3: Cross multiply
    5,886.48x = 8,123.04 × 3,233.82
  4. Step 4: Simplify right side
    5,886.48x = 26,268,449.21
  5. Step 5: Solve for x
    x = 26,268,449.21/5,886.48
  6. Step 6: Final answer
    x = 4,462.51

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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.