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Finding the Fourth Proportional to 4,094.42, 6,131.03 and 3,434.69

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Solution

The fourth proportional to 4,094.42, 6,131.03 and 3,434.69 is: 5,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.42 : 6,131.03 = 3,434.69 : x
  2. Step 2: Convert to fraction form
    4,094.42/6,131.03 = 3,434.69/x
  3. Step 3: Cross multiply
    4,094.42x = 6,131.03 × 3,434.69
  4. Step 4: Simplify right side
    4,094.42x = 21,058,185.58
  5. Step 5: Solve for x
    x = 21,058,185.58/4,094.42
  6. Step 6: Final answer
    x = 5,143.15

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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.