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Finding the Fourth Proportional to 4,195.62, 5,784.93 and 3,076.14

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Solution

The fourth proportional to 4,195.62, 5,784.93 and 3,076.14 is: 4,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.62 : 5,784.93 = 3,076.14 : x
  2. Step 2: Convert to fraction form
    4,195.62/5,784.93 = 3,076.14/x
  3. Step 3: Cross multiply
    4,195.62x = 5,784.93 × 3,076.14
  4. Step 4: Simplify right side
    4,195.62x = 17,795,254.57
  5. Step 5: Solve for x
    x = 17,795,254.57/4,195.62
  6. Step 6: Final answer
    x = 4,241.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.