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Finding the Fourth Proportional to 6,160.86, 9,242.10 and 3,239.33

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Solution

The fourth proportional to 6,160.86, 9,242.10 and 3,239.33 is: 4,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.86 : 9,242.10 = 3,239.33 : x
  2. Step 2: Convert to fraction form
    6,160.86/9,242.10 = 3,239.33/x
  3. Step 3: Cross multiply
    6,160.86x = 9,242.10 × 3,239.33
  4. Step 4: Simplify right side
    6,160.86x = 29,938,165.58
  5. Step 5: Solve for x
    x = 29,938,165.58/6,160.86
  6. Step 6: Final answer
    x = 4,859.41

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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.