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Finding the Fourth Proportional to 4,630.28, 6,390.90 and 2,642

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Solution

The fourth proportional to 4,630.28, 6,390.90 and 2,642 is: 3,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.28 : 6,390.90 = 2,642 : x
  2. Step 2: Convert to fraction form
    4,630.28/6,390.90 = 2,642/x
  3. Step 3: Cross multiply
    4,630.28x = 6,390.90 × 2,642
  4. Step 4: Simplify right side
    4,630.28x = 16,884,757.80
  5. Step 5: Solve for x
    x = 16,884,757.80/4,630.28
  6. Step 6: Final answer
    x = 3,646.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.