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Finding the Fourth Proportional to 5,659.76, 8,480.66 and 3,804.05

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Solution

The fourth proportional to 5,659.76, 8,480.66 and 3,804.05 is: 5,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.76 : 8,480.66 = 3,804.05 : x
  2. Step 2: Convert to fraction form
    5,659.76/8,480.66 = 3,804.05/x
  3. Step 3: Cross multiply
    5,659.76x = 8,480.66 × 3,804.05
  4. Step 4: Simplify right side
    5,659.76x = 32,260,793.25
  5. Step 5: Solve for x
    x = 32,260,793.25/5,659.76
  6. Step 6: Final answer
    x = 5,700.03

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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.