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Finding the Fourth Proportional to 3,483.64, 5,224.24 and 1,018.41

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Solution

The fourth proportional to 3,483.64, 5,224.24 and 1,018.41 is: 1,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.64 : 5,224.24 = 1,018.41 : x
  2. Step 2: Convert to fraction form
    3,483.64/5,224.24 = 1,018.41/x
  3. Step 3: Cross multiply
    3,483.64x = 5,224.24 × 1,018.41
  4. Step 4: Simplify right side
    3,483.64x = 5,320,418.26
  5. Step 5: Solve for x
    x = 5,320,418.26/3,483.64
  6. Step 6: Final answer
    x = 1,527.26

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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.