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Finding the Fourth Proportional to 4,175.35, 6,258.47 and 2,616.50

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Solution

The fourth proportional to 4,175.35, 6,258.47 and 2,616.50 is: 3,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.35 : 6,258.47 = 2,616.50 : x
  2. Step 2: Convert to fraction form
    4,175.35/6,258.47 = 2,616.50/x
  3. Step 3: Cross multiply
    4,175.35x = 6,258.47 × 2,616.50
  4. Step 4: Simplify right side
    4,175.35x = 16,375,289.32
  5. Step 5: Solve for x
    x = 16,375,289.32/4,175.35
  6. Step 6: Final answer
    x = 3,921.90

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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.