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Finding the Fourth Proportional to 5,886.85, 8,123.95 and 3,234.37

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Solution

The fourth proportional to 5,886.85, 8,123.95 and 3,234.37 is: 4,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.85 : 8,123.95 = 3,234.37 : x
  2. Step 2: Convert to fraction form
    5,886.85/8,123.95 = 3,234.37/x
  3. Step 3: Cross multiply
    5,886.85x = 8,123.95 × 3,234.37
  4. Step 4: Simplify right side
    5,886.85x = 26,275,819.54
  5. Step 5: Solve for x
    x = 26,275,819.54/5,886.85
  6. Step 6: Final answer
    x = 4,463.48

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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.