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Finding the Fourth Proportional to 4,649.11, 6,415.78 and 2,659.68

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Solution

The fourth proportional to 4,649.11, 6,415.78 and 2,659.68 is: 3,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.11 : 6,415.78 = 2,659.68 : x
  2. Step 2: Convert to fraction form
    4,649.11/6,415.78 = 2,659.68/x
  3. Step 3: Cross multiply
    4,649.11x = 6,415.78 × 2,659.68
  4. Step 4: Simplify right side
    4,649.11x = 17,063,921.75
  5. Step 5: Solve for x
    x = 17,063,921.75/4,649.11
  6. Step 6: Final answer
    x = 3,670.36

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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.