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Finding the Fourth Proportional to 5,056.13, 6,978.42 and 3,351.62

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Solution

The fourth proportional to 5,056.13, 6,978.42 and 3,351.62 is: 4,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.13 : 6,978.42 = 3,351.62 : x
  2. Step 2: Convert to fraction form
    5,056.13/6,978.42 = 3,351.62/x
  3. Step 3: Cross multiply
    5,056.13x = 6,978.42 × 3,351.62
  4. Step 4: Simplify right side
    5,056.13x = 23,389,029.49
  5. Step 5: Solve for x
    x = 23,389,029.49/5,056.13
  6. Step 6: Final answer
    x = 4,625.87

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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.