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Finding the Fourth Proportional to 5,886.34, 8,123.16 and 3,233.92

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Solution

The fourth proportional to 5,886.34, 8,123.16 and 3,233.92 is: 4,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.34 : 8,123.16 = 3,233.92 : x
  2. Step 2: Convert to fraction form
    5,886.34/8,123.16 = 3,233.92/x
  3. Step 3: Cross multiply
    5,886.34x = 8,123.16 × 3,233.92
  4. Step 4: Simplify right side
    5,886.34x = 26,269,649.59
  5. Step 5: Solve for x
    x = 26,269,649.59/5,886.34
  6. Step 6: Final answer
    x = 4,462.82

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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.