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Finding the Fourth Proportional to 4,635.63, 6,398.06 and 2,646

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Solution

The fourth proportional to 4,635.63, 6,398.06 and 2,646 is: 3,651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.63 : 6,398.06 = 2,646 : x
  2. Step 2: Convert to fraction form
    4,635.63/6,398.06 = 2,646/x
  3. Step 3: Cross multiply
    4,635.63x = 6,398.06 × 2,646
  4. Step 4: Simplify right side
    4,635.63x = 16,929,253.53
  5. Step 5: Solve for x
    x = 16,929,253.53/4,635.63
  6. Step 6: Final answer
    x = 3,651.99

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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.