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Finding the Fourth Proportional to 4,466, 6,163.80 and 2,602.64

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Solution

The fourth proportional to 4,466, 6,163.80 and 2,602.64 is: 3,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466 : 6,163.80 = 2,602.64 : x
  2. Step 2: Convert to fraction form
    4,466/6,163.80 = 2,602.64/x
  3. Step 3: Cross multiply
    4,466x = 6,163.80 × 2,602.64
  4. Step 4: Simplify right side
    4,466x = 16,042,152.43
  5. Step 5: Solve for x
    x = 16,042,152.43/4,466
  6. Step 6: Final answer
    x = 3,592.06

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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.