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Finding the Fourth Proportional to 3,910.49, 5,390.07 and 2,415.14

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Solution

The fourth proportional to 3,910.49, 5,390.07 and 2,415.14 is: 3,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.49 : 5,390.07 = 2,415.14 : x
  2. Step 2: Convert to fraction form
    3,910.49/5,390.07 = 2,415.14/x
  3. Step 3: Cross multiply
    3,910.49x = 5,390.07 × 2,415.14
  4. Step 4: Simplify right side
    3,910.49x = 13,017,773.66
  5. Step 5: Solve for x
    x = 13,017,773.66/3,910.49
  6. Step 6: Final answer
    x = 3,328.94

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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.