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Finding the Fourth Proportional to 5,822.76, 8,735.22 and 2,124.48

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Solution

The fourth proportional to 5,822.76, 8,735.22 and 2,124.48 is: 3,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.76 : 8,735.22 = 2,124.48 : x
  2. Step 2: Convert to fraction form
    5,822.76/8,735.22 = 2,124.48/x
  3. Step 3: Cross multiply
    5,822.76x = 8,735.22 × 2,124.48
  4. Step 4: Simplify right side
    5,822.76x = 18,557,800.19
  5. Step 5: Solve for x
    x = 18,557,800.19/5,822.76
  6. Step 6: Final answer
    x = 3,187.11

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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.