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Finding the Fourth Proportional to 4,200.78, 5,793.93 and 4,014.66

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Solution

The fourth proportional to 4,200.78, 5,793.93 and 4,014.66 is: 5,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.78 : 5,793.93 = 4,014.66 : x
  2. Step 2: Convert to fraction form
    4,200.78/5,793.93 = 4,014.66/x
  3. Step 3: Cross multiply
    4,200.78x = 5,793.93 × 4,014.66
  4. Step 4: Simplify right side
    4,200.78x = 23,260,659.01
  5. Step 5: Solve for x
    x = 23,260,659.01/4,200.78
  6. Step 6: Final answer
    x = 5,537.22

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1.5x scale

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.