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Finding the Fourth Proportional to 3,670.82, 5,507.03 and 1,362.32

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Solution

The fourth proportional to 3,670.82, 5,507.03 and 1,362.32 is: 2,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.82 : 5,507.03 = 1,362.32 : x
  2. Step 2: Convert to fraction form
    3,670.82/5,507.03 = 1,362.32/x
  3. Step 3: Cross multiply
    3,670.82x = 5,507.03 × 1,362.32
  4. Step 4: Simplify right side
    3,670.82x = 7,502,309.57
  5. Step 5: Solve for x
    x = 7,502,309.57/3,670.82
  6. Step 6: Final answer
    x = 2,043.77

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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.