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Finding the Fourth Proportional to 4,094.84, 6,142.16 and 1,786.34

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Solution

The fourth proportional to 4,094.84, 6,142.16 and 1,786.34 is: 2,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.84 : 6,142.16 = 1,786.34 : x
  2. Step 2: Convert to fraction form
    4,094.84/6,142.16 = 1,786.34/x
  3. Step 3: Cross multiply
    4,094.84x = 6,142.16 × 1,786.34
  4. Step 4: Simplify right side
    4,094.84x = 10,971,986.09
  5. Step 5: Solve for x
    x = 10,971,986.09/4,094.84
  6. Step 6: Final answer
    x = 2,679.47

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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.