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Finding the Fourth Proportional to 4,635, 6,396.57 and 2,646.18

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Solution

The fourth proportional to 4,635, 6,396.57 and 2,646.18 is: 3,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635 : 6,396.57 = 2,646.18 : x
  2. Step 2: Convert to fraction form
    4,635/6,396.57 = 2,646.18/x
  3. Step 3: Cross multiply
    4,635x = 6,396.57 × 2,646.18
  4. Step 4: Simplify right side
    4,635x = 16,926,475.60
  5. Step 5: Solve for x
    x = 16,926,475.60/4,635
  6. Step 6: Final answer
    x = 3,651.88

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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.