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Finding the Fourth Proportional to 4,913.72, 7,371.69 and 1,627.16

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Solution

The fourth proportional to 4,913.72, 7,371.69 and 1,627.16 is: 2,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.72 : 7,371.69 = 1,627.16 : x
  2. Step 2: Convert to fraction form
    4,913.72/7,371.69 = 1,627.16/x
  3. Step 3: Cross multiply
    4,913.72x = 7,371.69 × 1,627.16
  4. Step 4: Simplify right side
    4,913.72x = 11,994,919.10
  5. Step 5: Solve for x
    x = 11,994,919.10/4,913.72
  6. Step 6: Final answer
    x = 2,441.11

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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.