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Finding the Fourth Proportional to 5,933.65, 8,188.74 and 3,416.12

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Solution

The fourth proportional to 5,933.65, 8,188.74 and 3,416.12 is: 4,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.65 : 8,188.74 = 3,416.12 : x
  2. Step 2: Convert to fraction form
    5,933.65/8,188.74 = 3,416.12/x
  3. Step 3: Cross multiply
    5,933.65x = 8,188.74 × 3,416.12
  4. Step 4: Simplify right side
    5,933.65x = 27,973,754.31
  5. Step 5: Solve for x
    x = 27,973,754.31/5,933.65
  6. Step 6: Final answer
    x = 4,714.43

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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.