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Finding the Fourth Proportional to 5,412.93, 8,118.24 and 3,159.96

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Solution

The fourth proportional to 5,412.93, 8,118.24 and 3,159.96 is: 4,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.93 : 8,118.24 = 3,159.96 : x
  2. Step 2: Convert to fraction form
    5,412.93/8,118.24 = 3,159.96/x
  3. Step 3: Cross multiply
    5,412.93x = 8,118.24 × 3,159.96
  4. Step 4: Simplify right side
    5,412.93x = 25,653,334.82
  5. Step 5: Solve for x
    x = 25,653,334.82/5,412.93
  6. Step 6: Final answer
    x = 4,739.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.