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Finding the Fourth Proportional to 4,563.52, 6,298.49 and 2,771.39

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Solution

The fourth proportional to 4,563.52, 6,298.49 and 2,771.39 is: 3,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.52 : 6,298.49 = 2,771.39 : x
  2. Step 2: Convert to fraction form
    4,563.52/6,298.49 = 2,771.39/x
  3. Step 3: Cross multiply
    4,563.52x = 6,298.49 × 2,771.39
  4. Step 4: Simplify right side
    4,563.52x = 17,455,572.20
  5. Step 5: Solve for x
    x = 17,455,572.20/4,563.52
  6. Step 6: Final answer
    x = 3,825.02

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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.