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Finding the Fourth Proportional to 5,886.79, 8,123.67 and 3,234.20

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Solution

The fourth proportional to 5,886.79, 8,123.67 and 3,234.20 is: 4,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.79 : 8,123.67 = 3,234.20 : x
  2. Step 2: Convert to fraction form
    5,886.79/8,123.67 = 3,234.20/x
  3. Step 3: Cross multiply
    5,886.79x = 8,123.67 × 3,234.20
  4. Step 4: Simplify right side
    5,886.79x = 26,273,532.90
  5. Step 5: Solve for x
    x = 26,273,532.90/5,886.79
  6. Step 6: Final answer
    x = 4,463.14

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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.