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Finding the Fourth Proportional to 5,710.24, 8,563.86 and 2,200.72

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Solution

The fourth proportional to 5,710.24, 8,563.86 and 2,200.72 is: 3,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.24 : 8,563.86 = 2,200.72 : x
  2. Step 2: Convert to fraction form
    5,710.24/8,563.86 = 2,200.72/x
  3. Step 3: Cross multiply
    5,710.24x = 8,563.86 × 2,200.72
  4. Step 4: Simplify right side
    5,710.24x = 18,846,657.98
  5. Step 5: Solve for x
    x = 18,846,657.98/5,710.24
  6. Step 6: Final answer
    x = 3,300.50

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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.