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Finding the Fourth Proportional to 5,444.32, 8,166.46 and 4,350.82

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Solution

The fourth proportional to 5,444.32, 8,166.46 and 4,350.82 is: 6,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.32 : 8,166.46 = 4,350.82 : x
  2. Step 2: Convert to fraction form
    5,444.32/8,166.46 = 4,350.82/x
  3. Step 3: Cross multiply
    5,444.32x = 8,166.46 × 4,350.82
  4. Step 4: Simplify right side
    5,444.32x = 35,530,797.50
  5. Step 5: Solve for x
    x = 35,530,797.50/5,444.32
  6. Step 6: Final answer
    x = 6,526.21

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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.