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Finding the Fourth Proportional to 3,468.03, 4,785.89 and 1,896.13

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Solution

The fourth proportional to 3,468.03, 4,785.89 and 1,896.13 is: 2,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.03 : 4,785.89 = 1,896.13 : x
  2. Step 2: Convert to fraction form
    3,468.03/4,785.89 = 1,896.13/x
  3. Step 3: Cross multiply
    3,468.03x = 4,785.89 × 1,896.13
  4. Step 4: Simplify right side
    3,468.03x = 9,074,636.20
  5. Step 5: Solve for x
    x = 9,074,636.20/3,468.03
  6. Step 6: Final answer
    x = 2,616.65

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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.