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Finding the Fourth Proportional to 4,649.69, 6,414.98 and 2,659.52

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Solution

The fourth proportional to 4,649.69, 6,414.98 and 2,659.52 is: 3,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.69 : 6,414.98 = 2,659.52 : x
  2. Step 2: Convert to fraction form
    4,649.69/6,414.98 = 2,659.52/x
  3. Step 3: Cross multiply
    4,649.69x = 6,414.98 × 2,659.52
  4. Step 4: Simplify right side
    4,649.69x = 17,060,722.24
  5. Step 5: Solve for x
    x = 17,060,722.24/4,649.69
  6. Step 6: Final answer
    x = 3,669.22

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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.