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Finding the Fourth Proportional to 5,597.21, 8,393.94 and 2,822.12

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Solution

The fourth proportional to 5,597.21, 8,393.94 and 2,822.12 is: 4,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.21 : 8,393.94 = 2,822.12 : x
  2. Step 2: Convert to fraction form
    5,597.21/8,393.94 = 2,822.12/x
  3. Step 3: Cross multiply
    5,597.21x = 8,393.94 × 2,822.12
  4. Step 4: Simplify right side
    5,597.21x = 23,688,663.98
  5. Step 5: Solve for x
    x = 23,688,663.98/5,597.21
  6. Step 6: Final answer
    x = 4,232.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.