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Finding the Fourth Proportional to 5,142.52, 7,096.62 and 3,046.68

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Solution

The fourth proportional to 5,142.52, 7,096.62 and 3,046.68 is: 4,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.52 : 7,096.62 = 3,046.68 : x
  2. Step 2: Convert to fraction form
    5,142.52/7,096.62 = 3,046.68/x
  3. Step 3: Cross multiply
    5,142.52x = 7,096.62 × 3,046.68
  4. Step 4: Simplify right side
    5,142.52x = 21,621,130.22
  5. Step 5: Solve for x
    x = 21,621,130.22/5,142.52
  6. Step 6: Final answer
    x = 4,204.38

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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.