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Finding the Fourth Proportional to 4,649.30, 6,415.63 and 2,659.47

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Solution

The fourth proportional to 4,649.30, 6,415.63 and 2,659.47 is: 3,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.30 : 6,415.63 = 2,659.47 : x
  2. Step 2: Convert to fraction form
    4,649.30/6,415.63 = 2,659.47/x
  3. Step 3: Cross multiply
    4,649.30x = 6,415.63 × 2,659.47
  4. Step 4: Simplify right side
    4,649.30x = 17,062,175.52
  5. Step 5: Solve for x
    x = 17,062,175.52/4,649.30
  6. Step 6: Final answer
    x = 3,669.84

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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.