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Finding the Fourth Proportional to 3,663, 5,053.14 and 2,484.44

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Solution

The fourth proportional to 3,663, 5,053.14 and 2,484.44 is: 3,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663 : 5,053.14 = 2,484.44 : x
  2. Step 2: Convert to fraction form
    3,663/5,053.14 = 2,484.44/x
  3. Step 3: Cross multiply
    3,663x = 5,053.14 × 2,484.44
  4. Step 4: Simplify right side
    3,663x = 12,554,223.14
  5. Step 5: Solve for x
    x = 12,554,223.14/3,663
  6. Step 6: Final answer
    x = 3,427.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.