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Finding the Fourth Proportional to 5,591.96, 8,376.08 and 3,828.69

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Solution

The fourth proportional to 5,591.96, 8,376.08 and 3,828.69 is: 5,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.96 : 8,376.08 = 3,828.69 : x
  2. Step 2: Convert to fraction form
    5,591.96/8,376.08 = 3,828.69/x
  3. Step 3: Cross multiply
    5,591.96x = 8,376.08 × 3,828.69
  4. Step 4: Simplify right side
    5,591.96x = 32,069,413.74
  5. Step 5: Solve for x
    x = 32,069,413.74/5,591.96
  6. Step 6: Final answer
    x = 5,734.91

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1.5x scale

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.