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Finding the Fourth Proportional to 3,448.94, 4,765.11 and 2,405.66

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Solution

The fourth proportional to 3,448.94, 4,765.11 and 2,405.66 is: 3,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.94 : 4,765.11 = 2,405.66 : x
  2. Step 2: Convert to fraction form
    3,448.94/4,765.11 = 2,405.66/x
  3. Step 3: Cross multiply
    3,448.94x = 4,765.11 × 2,405.66
  4. Step 4: Simplify right side
    3,448.94x = 11,463,234.52
  5. Step 5: Solve for x
    x = 11,463,234.52/3,448.94
  6. Step 6: Final answer
    x = 3,323.70

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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.