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Finding the Fourth Proportional to 3,468.35, 4,786.34 and 1,896.47

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Solution

The fourth proportional to 3,468.35, 4,786.34 and 1,896.47 is: 2,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.35 : 4,786.34 = 1,896.47 : x
  2. Step 2: Convert to fraction form
    3,468.35/4,786.34 = 1,896.47/x
  3. Step 3: Cross multiply
    3,468.35x = 4,786.34 × 1,896.47
  4. Step 4: Simplify right side
    3,468.35x = 9,077,140.74
  5. Step 5: Solve for x
    x = 9,077,140.74/3,468.35
  6. Step 6: Final answer
    x = 2,617.14

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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.