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Finding the Fourth Proportional to 4,427.52, 6,108 and 2,563.44

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Solution

The fourth proportional to 4,427.52, 6,108 and 2,563.44 is: 3,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.52 : 6,108 = 2,563.44 : x
  2. Step 2: Convert to fraction form
    4,427.52/6,108 = 2,563.44/x
  3. Step 3: Cross multiply
    4,427.52x = 6,108 × 2,563.44
  4. Step 4: Simplify right side
    4,427.52x = 15,657,491.52
  5. Step 5: Solve for x
    x = 15,657,491.52/4,427.52
  6. Step 6: Final answer
    x = 3,536.40

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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.