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Finding the Fourth Proportional to 4,649.07, 6,415.78 and 2,553.19

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Solution

The fourth proportional to 4,649.07, 6,415.78 and 2,553.19 is: 3,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.07 : 6,415.78 = 2,553.19 : x
  2. Step 2: Convert to fraction form
    4,649.07/6,415.78 = 2,553.19/x
  3. Step 3: Cross multiply
    4,649.07x = 6,415.78 × 2,553.19
  4. Step 4: Simplify right side
    4,649.07x = 16,380,705.34
  5. Step 5: Solve for x
    x = 16,380,705.34/4,649.07
  6. Step 6: Final answer
    x = 3,523.44

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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.