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Finding the Fourth Proportional to 8,031.84, 12,048.82 and 3,589.54

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Solution

The fourth proportional to 8,031.84, 12,048.82 and 3,589.54 is: 5,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.84 : 12,048.82 = 3,589.54 : x
  2. Step 2: Convert to fraction form
    8,031.84/12,048.82 = 3,589.54/x
  3. Step 3: Cross multiply
    8,031.84x = 12,048.82 × 3,589.54
  4. Step 4: Simplify right side
    8,031.84x = 43,249,721.34
  5. Step 5: Solve for x
    x = 43,249,721.34/8,031.84
  6. Step 6: Final answer
    x = 5,384.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.