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Finding the Fourth Proportional to 4,800.56, 6,627.36 and 3,678

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Solution

The fourth proportional to 4,800.56, 6,627.36 and 3,678 is: 5,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.56 : 6,627.36 = 3,678 : x
  2. Step 2: Convert to fraction form
    4,800.56/6,627.36 = 3,678/x
  3. Step 3: Cross multiply
    4,800.56x = 6,627.36 × 3,678
  4. Step 4: Simplify right side
    4,800.56x = 24,375,430.08
  5. Step 5: Solve for x
    x = 24,375,430.08/4,800.56
  6. Step 6: Final answer
    x = 5,077.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.