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Finding the Fourth Proportional to 4,789.74, 7,181.82 and 4,014.54

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Solution

The fourth proportional to 4,789.74, 7,181.82 and 4,014.54 is: 6,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.74 : 7,181.82 = 4,014.54 : x
  2. Step 2: Convert to fraction form
    4,789.74/7,181.82 = 4,014.54/x
  3. Step 3: Cross multiply
    4,789.74x = 7,181.82 × 4,014.54
  4. Step 4: Simplify right side
    4,789.74x = 28,831,703.66
  5. Step 5: Solve for x
    x = 28,831,703.66/4,789.74
  6. Step 6: Final answer
    x = 6,019.47

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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.