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Finding the Fourth Proportional to 5,886.75, 8,123.43 and 3,233.64

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Solution

The fourth proportional to 5,886.75, 8,123.43 and 3,233.64 is: 4,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.75 : 8,123.43 = 3,233.64 : x
  2. Step 2: Convert to fraction form
    5,886.75/8,123.43 = 3,233.64/x
  3. Step 3: Cross multiply
    5,886.75x = 8,123.43 × 3,233.64
  4. Step 4: Simplify right side
    5,886.75x = 26,268,248.19
  5. Step 5: Solve for x
    x = 26,268,248.19/5,886.75
  6. Step 6: Final answer
    x = 4,462.27

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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.