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Finding the Fourth Proportional to 5,803.62, 8,009.64 and 3,679.80

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Solution

The fourth proportional to 5,803.62, 8,009.64 and 3,679.80 is: 5,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.62 : 8,009.64 = 3,679.80 : x
  2. Step 2: Convert to fraction form
    5,803.62/8,009.64 = 3,679.80/x
  3. Step 3: Cross multiply
    5,803.62x = 8,009.64 × 3,679.80
  4. Step 4: Simplify right side
    5,803.62x = 29,473,873.27
  5. Step 5: Solve for x
    x = 29,473,873.27/5,803.62
  6. Step 6: Final answer
    x = 5,078.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.