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Finding the Fourth Proportional to 3,771.54, 5,659.51 and 1,580.08

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Solution

The fourth proportional to 3,771.54, 5,659.51 and 1,580.08 is: 2,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.54 : 5,659.51 = 1,580.08 : x
  2. Step 2: Convert to fraction form
    3,771.54/5,659.51 = 1,580.08/x
  3. Step 3: Cross multiply
    3,771.54x = 5,659.51 × 1,580.08
  4. Step 4: Simplify right side
    3,771.54x = 8,942,496.66
  5. Step 5: Solve for x
    x = 8,942,496.66/3,771.54
  6. Step 6: Final answer
    x = 2,371.05

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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.