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Finding the Fourth Proportional to 5,786.81, 7,985.80 and 3,134.22

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Solution

The fourth proportional to 5,786.81, 7,985.80 and 3,134.22 is: 4,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.81 : 7,985.80 = 3,134.22 : x
  2. Step 2: Convert to fraction form
    5,786.81/7,985.80 = 3,134.22/x
  3. Step 3: Cross multiply
    5,786.81x = 7,985.80 × 3,134.22
  4. Step 4: Simplify right side
    5,786.81x = 25,029,254.08
  5. Step 5: Solve for x
    x = 25,029,254.08/5,786.81
  6. Step 6: Final answer
    x = 4,325.22

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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.