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Finding the Fourth Proportional to 4,789.53, 7,181.43 and 1,864.41

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Solution

The fourth proportional to 4,789.53, 7,181.43 and 1,864.41 is: 2,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.53 : 7,181.43 = 1,864.41 : x
  2. Step 2: Convert to fraction form
    4,789.53/7,181.43 = 1,864.41/x
  3. Step 3: Cross multiply
    4,789.53x = 7,181.43 × 1,864.41
  4. Step 4: Simplify right side
    4,789.53x = 13,389,129.91
  5. Step 5: Solve for x
    x = 13,389,129.91/4,789.53
  6. Step 6: Final answer
    x = 2,795.50

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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.