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Finding the Fourth Proportional to 5,239.30, 7,859.06 and 4,194.46

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Solution

The fourth proportional to 5,239.30, 7,859.06 and 4,194.46 is: 6,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.30 : 7,859.06 = 4,194.46 : x
  2. Step 2: Convert to fraction form
    5,239.30/7,859.06 = 4,194.46/x
  3. Step 3: Cross multiply
    5,239.30x = 7,859.06 × 4,194.46
  4. Step 4: Simplify right side
    5,239.30x = 32,964,512.81
  5. Step 5: Solve for x
    x = 32,964,512.81/5,239.30
  6. Step 6: Final answer
    x = 6,291.78

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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.