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Finding the Fourth Proportional to 3,189.86, 4,772.48 and 3,181.66

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Solution

The fourth proportional to 3,189.86, 4,772.48 and 3,181.66 is: 4,760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.86 : 4,772.48 = 3,181.66 : x
  2. Step 2: Convert to fraction form
    3,189.86/4,772.48 = 3,181.66/x
  3. Step 3: Cross multiply
    3,189.86x = 4,772.48 × 3,181.66
  4. Step 4: Simplify right side
    3,189.86x = 15,184,368.95
  5. Step 5: Solve for x
    x = 15,184,368.95/3,189.86
  6. Step 6: Final answer
    x = 4,760.20

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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.