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Finding the Fourth Proportional to 5,773.02, 8,660.36 and 1,822.93

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Solution

The fourth proportional to 5,773.02, 8,660.36 and 1,822.93 is: 2,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.02 : 8,660.36 = 1,822.93 : x
  2. Step 2: Convert to fraction form
    5,773.02/8,660.36 = 1,822.93/x
  3. Step 3: Cross multiply
    5,773.02x = 8,660.36 × 1,822.93
  4. Step 4: Simplify right side
    5,773.02x = 15,787,230.05
  5. Step 5: Solve for x
    x = 15,787,230.05/5,773.02
  6. Step 6: Final answer
    x = 2,734.66

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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.