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Finding the Fourth Proportional to 4,467.62, 6,701.44 and 2,157.50

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Solution

The fourth proportional to 4,467.62, 6,701.44 and 2,157.50 is: 3,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.62 : 6,701.44 = 2,157.50 : x
  2. Step 2: Convert to fraction form
    4,467.62/6,701.44 = 2,157.50/x
  3. Step 3: Cross multiply
    4,467.62x = 6,701.44 × 2,157.50
  4. Step 4: Simplify right side
    4,467.62x = 14,458,356.80
  5. Step 5: Solve for x
    x = 14,458,356.80/4,467.62
  6. Step 6: Final answer
    x = 3,236.25

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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.