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Finding the Fourth Proportional to 3,663.44, 5,491.32 and 1,714

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Solution

The fourth proportional to 3,663.44, 5,491.32 and 1,714 is: 2,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.44 : 5,491.32 = 1,714 : x
  2. Step 2: Convert to fraction form
    3,663.44/5,491.32 = 1,714/x
  3. Step 3: Cross multiply
    3,663.44x = 5,491.32 × 1,714
  4. Step 4: Simplify right side
    3,663.44x = 9,412,122.48
  5. Step 5: Solve for x
    x = 9,412,122.48/3,663.44
  6. Step 6: Final answer
    x = 2,569.20

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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.