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Finding the Fourth Proportional to 3,670.14, 5,502.72 and 1,721.28

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Solution

The fourth proportional to 3,670.14, 5,502.72 and 1,721.28 is: 2,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.14 : 5,502.72 = 1,721.28 : x
  2. Step 2: Convert to fraction form
    3,670.14/5,502.72 = 1,721.28/x
  3. Step 3: Cross multiply
    3,670.14x = 5,502.72 × 1,721.28
  4. Step 4: Simplify right side
    3,670.14x = 9,471,721.88
  5. Step 5: Solve for x
    x = 9,471,721.88/3,670.14
  6. Step 6: Final answer
    x = 2,580.75

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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.