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Finding the Fourth Proportional to 5,822.28, 8,737.20 and 2,537.46

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Solution

The fourth proportional to 5,822.28, 8,737.20 and 2,537.46 is: 3,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.28 : 8,737.20 = 2,537.46 : x
  2. Step 2: Convert to fraction form
    5,822.28/8,737.20 = 2,537.46/x
  3. Step 3: Cross multiply
    5,822.28x = 8,737.20 × 2,537.46
  4. Step 4: Simplify right side
    5,822.28x = 22,170,295.51
  5. Step 5: Solve for x
    x = 22,170,295.51/5,822.28
  6. Step 6: Final answer
    x = 3,807.84

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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.