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Finding the Fourth Proportional to 4,984.54, 7,476.42 and 1,863.34

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Solution

The fourth proportional to 4,984.54, 7,476.42 and 1,863.34 is: 2,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.54 : 7,476.42 = 1,863.34 : x
  2. Step 2: Convert to fraction form
    4,984.54/7,476.42 = 1,863.34/x
  3. Step 3: Cross multiply
    4,984.54x = 7,476.42 × 1,863.34
  4. Step 4: Simplify right side
    4,984.54x = 13,931,112.44
  5. Step 5: Solve for x
    x = 13,931,112.44/4,984.54
  6. Step 6: Final answer
    x = 2,794.86

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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.