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Finding the Fourth Proportional to 4,627.56, 6,378.24 and 3,687

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Solution

The fourth proportional to 4,627.56, 6,378.24 and 3,687 is: 5,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.56 : 6,378.24 = 3,687 : x
  2. Step 2: Convert to fraction form
    4,627.56/6,378.24 = 3,687/x
  3. Step 3: Cross multiply
    4,627.56x = 6,378.24 × 3,687
  4. Step 4: Simplify right side
    4,627.56x = 23,516,570.88
  5. Step 5: Solve for x
    x = 23,516,570.88/4,627.56
  6. Step 6: Final answer
    x = 5,081.85

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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.