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Finding the Fourth Proportional to 3,670, 5,502.38 and 1,721.14

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Solution

The fourth proportional to 3,670, 5,502.38 and 1,721.14 is: 2,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670 : 5,502.38 = 1,721.14 : x
  2. Step 2: Convert to fraction form
    3,670/5,502.38 = 1,721.14/x
  3. Step 3: Cross multiply
    3,670x = 5,502.38 × 1,721.14
  4. Step 4: Simplify right side
    3,670x = 9,470,366.31
  5. Step 5: Solve for x
    x = 9,470,366.31/3,670
  6. Step 6: Final answer
    x = 2,580.48

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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.