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Finding the Fourth Proportional to 3,633.62, 5,451.48 and 1,785.29

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Solution

The fourth proportional to 3,633.62, 5,451.48 and 1,785.29 is: 2,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.62 : 5,451.48 = 1,785.29 : x
  2. Step 2: Convert to fraction form
    3,633.62/5,451.48 = 1,785.29/x
  3. Step 3: Cross multiply
    3,633.62x = 5,451.48 × 1,785.29
  4. Step 4: Simplify right side
    3,633.62x = 9,732,445.47
  5. Step 5: Solve for x
    x = 9,732,445.47/3,633.62
  6. Step 6: Final answer
    x = 2,678.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.