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Finding the Fourth Proportional to 4,384.02, 6,577 and 1,462.44

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Solution

The fourth proportional to 4,384.02, 6,577 and 1,462.44 is: 2,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.02 : 6,577 = 1,462.44 : x
  2. Step 2: Convert to fraction form
    4,384.02/6,577 = 1,462.44/x
  3. Step 3: Cross multiply
    4,384.02x = 6,577 × 1,462.44
  4. Step 4: Simplify right side
    4,384.02x = 9,618,467.88
  5. Step 5: Solve for x
    x = 9,618,467.88/4,384.02
  6. Step 6: Final answer
    x = 2,193.98

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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.