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Finding the Fourth Proportional to 5,591.13, 8,388 and 1,642.23

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Solution

The fourth proportional to 5,591.13, 8,388 and 1,642.23 is: 2,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.13 : 8,388 = 1,642.23 : x
  2. Step 2: Convert to fraction form
    5,591.13/8,388 = 1,642.23/x
  3. Step 3: Cross multiply
    5,591.13x = 8,388 × 1,642.23
  4. Step 4: Simplify right side
    5,591.13x = 13,775,025.24
  5. Step 5: Solve for x
    x = 13,775,025.24/5,591.13
  6. Step 6: Final answer
    x = 2,463.73

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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.