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Finding the Fourth Proportional to 5,685.66, 7,846.26 and 3,327.84

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Solution

The fourth proportional to 5,685.66, 7,846.26 and 3,327.84 is: 4,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.66 : 7,846.26 = 3,327.84 : x
  2. Step 2: Convert to fraction form
    5,685.66/7,846.26 = 3,327.84/x
  3. Step 3: Cross multiply
    5,685.66x = 7,846.26 × 3,327.84
  4. Step 4: Simplify right side
    5,685.66x = 26,111,097.88
  5. Step 5: Solve for x
    x = 26,111,097.88/5,685.66
  6. Step 6: Final answer
    x = 4,592.45

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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.