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Finding the Fourth Proportional to 5,594.24, 7,720.22 and 3,076.22

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Solution

The fourth proportional to 5,594.24, 7,720.22 and 3,076.22 is: 4,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.24 : 7,720.22 = 3,076.22 : x
  2. Step 2: Convert to fraction form
    5,594.24/7,720.22 = 3,076.22/x
  3. Step 3: Cross multiply
    5,594.24x = 7,720.22 × 3,076.22
  4. Step 4: Simplify right side
    5,594.24x = 23,749,122.16
  5. Step 5: Solve for x
    x = 23,749,122.16/5,594.24
  6. Step 6: Final answer
    x = 4,245.28

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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.