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Finding the Fourth Proportional to 5,612.28, 7,745.13 and 3,094.50

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Solution

The fourth proportional to 5,612.28, 7,745.13 and 3,094.50 is: 4,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.28 : 7,745.13 = 3,094.50 : x
  2. Step 2: Convert to fraction form
    5,612.28/7,745.13 = 3,094.50/x
  3. Step 3: Cross multiply
    5,612.28x = 7,745.13 × 3,094.50
  4. Step 4: Simplify right side
    5,612.28x = 23,967,304.79
  5. Step 5: Solve for x
    x = 23,967,304.79/5,612.28
  6. Step 6: Final answer
    x = 4,270.51

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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.