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Finding the Fourth Proportional to 5,967.46, 8,235.54 and 4,199.68

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Solution

The fourth proportional to 5,967.46, 8,235.54 and 4,199.68 is: 5,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.46 : 8,235.54 = 4,199.68 : x
  2. Step 2: Convert to fraction form
    5,967.46/8,235.54 = 4,199.68/x
  3. Step 3: Cross multiply
    5,967.46x = 8,235.54 × 4,199.68
  4. Step 4: Simplify right side
    5,967.46x = 34,586,632.63
  5. Step 5: Solve for x
    x = 34,586,632.63/5,967.46
  6. Step 6: Final answer
    x = 5,795.87

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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.