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Finding the Fourth Proportional to 3,583.77, 4,932.14 and 3,031.49

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Solution

The fourth proportional to 3,583.77, 4,932.14 and 3,031.49 is: 4,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.77 : 4,932.14 = 3,031.49 : x
  2. Step 2: Convert to fraction form
    3,583.77/4,932.14 = 3,031.49/x
  3. Step 3: Cross multiply
    3,583.77x = 4,932.14 × 3,031.49
  4. Step 4: Simplify right side
    3,583.77x = 14,951,693.27
  5. Step 5: Solve for x
    x = 14,951,693.27/3,583.77
  6. Step 6: Final answer
    x = 4,172.06

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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.