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Finding the Fourth Proportional to 3,468.07, 4,785.96 and 1,896.19

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Solution

The fourth proportional to 3,468.07, 4,785.96 and 1,896.19 is: 2,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.07 : 4,785.96 = 1,896.19 : x
  2. Step 2: Convert to fraction form
    3,468.07/4,785.96 = 1,896.19/x
  3. Step 3: Cross multiply
    3,468.07x = 4,785.96 × 1,896.19
  4. Step 4: Simplify right side
    3,468.07x = 9,075,089.49
  5. Step 5: Solve for x
    x = 9,075,089.49/3,468.07
  6. Step 6: Final answer
    x = 2,616.75

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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.