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Finding the Fourth Proportional to 3,909.51, 5,835.67 and 3,393.14

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Solution

The fourth proportional to 3,909.51, 5,835.67 and 3,393.14 is: 5,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.51 : 5,835.67 = 3,393.14 : x
  2. Step 2: Convert to fraction form
    3,909.51/5,835.67 = 3,393.14/x
  3. Step 3: Cross multiply
    3,909.51x = 5,835.67 × 3,393.14
  4. Step 4: Simplify right side
    3,909.51x = 19,801,207.64
  5. Step 5: Solve for x
    x = 19,801,207.64/3,909.51
  6. Step 6: Final answer
    x = 5,064.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.