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Finding the Fourth Proportional to 4,121, 6,181.56 and 1,347.66

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Solution

The fourth proportional to 4,121, 6,181.56 and 1,347.66 is: 2,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121 : 6,181.56 = 1,347.66 : x
  2. Step 2: Convert to fraction form
    4,121/6,181.56 = 1,347.66/x
  3. Step 3: Cross multiply
    4,121x = 6,181.56 × 1,347.66
  4. Step 4: Simplify right side
    4,121x = 8,330,641.15
  5. Step 5: Solve for x
    x = 8,330,641.15/4,121
  6. Step 6: Final answer
    x = 2,021.51

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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.