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Finding the Fourth Proportional to 3,249.47, 4,484.27 and 1,757.39

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Solution

The fourth proportional to 3,249.47, 4,484.27 and 1,757.39 is: 2,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.47 : 4,484.27 = 1,757.39 : x
  2. Step 2: Convert to fraction form
    3,249.47/4,484.27 = 1,757.39/x
  3. Step 3: Cross multiply
    3,249.47x = 4,484.27 × 1,757.39
  4. Step 4: Simplify right side
    3,249.47x = 7,880,602.47
  5. Step 5: Solve for x
    x = 7,880,602.47/3,249.47
  6. Step 6: Final answer
    x = 2,425.20

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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.