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Finding the Fourth Proportional to 5,352.36, 8,031.71 and 2,982.42

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Solution

The fourth proportional to 5,352.36, 8,031.71 and 2,982.42 is: 4,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.36 : 8,031.71 = 2,982.42 : x
  2. Step 2: Convert to fraction form
    5,352.36/8,031.71 = 2,982.42/x
  3. Step 3: Cross multiply
    5,352.36x = 8,031.71 × 2,982.42
  4. Step 4: Simplify right side
    5,352.36x = 23,953,917.63
  5. Step 5: Solve for x
    x = 23,953,917.63/5,352.36
  6. Step 6: Final answer
    x = 4,475.39

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Why These Related Problems?

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