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Finding the Fourth Proportional to 5,591.50, 8,403.14 and 5,384.41

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Solution

The fourth proportional to 5,591.50, 8,403.14 and 5,384.41 is: 8,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.50 : 8,403.14 = 5,384.41 : x
  2. Step 2: Convert to fraction form
    5,591.50/8,403.14 = 5,384.41/x
  3. Step 3: Cross multiply
    5,591.50x = 8,403.14 × 5,384.41
  4. Step 4: Simplify right side
    5,591.50x = 45,245,943.50
  5. Step 5: Solve for x
    x = 45,245,943.50/5,591.50
  6. Step 6: Final answer
    x = 8,091.92

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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.