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Finding the Fourth Proportional to 5,239.08, 7,851.06 and 3,941.46

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Solution

The fourth proportional to 5,239.08, 7,851.06 and 3,941.46 is: 5,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.08 : 7,851.06 = 3,941.46 : x
  2. Step 2: Convert to fraction form
    5,239.08/7,851.06 = 3,941.46/x
  3. Step 3: Cross multiply
    5,239.08x = 7,851.06 × 3,941.46
  4. Step 4: Simplify right side
    5,239.08x = 30,944,638.95
  5. Step 5: Solve for x
    x = 30,944,638.95/5,239.08
  6. Step 6: Final answer
    x = 5,906.50

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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.