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Finding the Fourth Proportional to 5,793.76, 8,702.51 and 3,822.22

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Solution

The fourth proportional to 5,793.76, 8,702.51 and 3,822.22 is: 5,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.76 : 8,702.51 = 3,822.22 : x
  2. Step 2: Convert to fraction form
    5,793.76/8,702.51 = 3,822.22/x
  3. Step 3: Cross multiply
    5,793.76x = 8,702.51 × 3,822.22
  4. Step 4: Simplify right side
    5,793.76x = 33,262,899.54
  5. Step 5: Solve for x
    x = 33,262,899.54/5,793.76
  6. Step 6: Final answer
    x = 5,741.16

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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.