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Finding the Fourth Proportional to 4,148.78, 6,224.99 and 2,200.50

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Solution

The fourth proportional to 4,148.78, 6,224.99 and 2,200.50 is: 3,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.78 : 6,224.99 = 2,200.50 : x
  2. Step 2: Convert to fraction form
    4,148.78/6,224.99 = 2,200.50/x
  3. Step 3: Cross multiply
    4,148.78x = 6,224.99 × 2,200.50
  4. Step 4: Simplify right side
    4,148.78x = 13,698,079.49
  5. Step 5: Solve for x
    x = 13,698,079.49/4,148.78
  6. Step 6: Final answer
    x = 3,301.72

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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.