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Finding the Fourth Proportional to 4,639.68, 6,402.36 and 2,649.84

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Solution

The fourth proportional to 4,639.68, 6,402.36 and 2,649.84 is: 3,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.68 : 6,402.36 = 2,649.84 : x
  2. Step 2: Convert to fraction form
    4,639.68/6,402.36 = 2,649.84/x
  3. Step 3: Cross multiply
    4,639.68x = 6,402.36 × 2,649.84
  4. Step 4: Simplify right side
    4,639.68x = 16,965,229.62
  5. Step 5: Solve for x
    x = 16,965,229.62/4,639.68
  6. Step 6: Final answer
    x = 3,656.55

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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.