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Finding the Fourth Proportional to 3,670.96, 5,507.81 and 1,480.31

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Solution

The fourth proportional to 3,670.96, 5,507.81 and 1,480.31 is: 2,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.96 : 5,507.81 = 1,480.31 : x
  2. Step 2: Convert to fraction form
    3,670.96/5,507.81 = 1,480.31/x
  3. Step 3: Cross multiply
    3,670.96x = 5,507.81 × 1,480.31
  4. Step 4: Simplify right side
    3,670.96x = 8,153,266.22
  5. Step 5: Solve for x
    x = 8,153,266.22/3,670.96
  6. Step 6: Final answer
    x = 2,221.02

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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.