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Finding the Fourth Proportional to 5,933.96, 8,189.48 and 3,416.16

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Solution

The fourth proportional to 5,933.96, 8,189.48 and 3,416.16 is: 4,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.96 : 8,189.48 = 3,416.16 : x
  2. Step 2: Convert to fraction form
    5,933.96/8,189.48 = 3,416.16/x
  3. Step 3: Cross multiply
    5,933.96x = 8,189.48 × 3,416.16
  4. Step 4: Simplify right side
    5,933.96x = 27,976,574.00
  5. Step 5: Solve for x
    x = 27,976,574.00/5,933.96
  6. Step 6: Final answer
    x = 4,714.65

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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.