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Finding the Fourth Proportional to 5,740.57, 8,600.46 and 4,822.03

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Solution

The fourth proportional to 5,740.57, 8,600.46 and 4,822.03 is: 7,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.57 : 8,600.46 = 4,822.03 : x
  2. Step 2: Convert to fraction form
    5,740.57/8,600.46 = 4,822.03/x
  3. Step 3: Cross multiply
    5,740.57x = 8,600.46 × 4,822.03
  4. Step 4: Simplify right side
    5,740.57x = 41,471,676.13
  5. Step 5: Solve for x
    x = 41,471,676.13/5,740.57
  6. Step 6: Final answer
    x = 7,224.31

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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.