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Finding the Fourth Proportional to 3,789.10, 5,678.13 and 1,678.18

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Solution

The fourth proportional to 3,789.10, 5,678.13 and 1,678.18 is: 2,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.10 : 5,678.13 = 1,678.18 : x
  2. Step 2: Convert to fraction form
    3,789.10/5,678.13 = 1,678.18/x
  3. Step 3: Cross multiply
    3,789.10x = 5,678.13 × 1,678.18
  4. Step 4: Simplify right side
    3,789.10x = 9,528,924.20
  5. Step 5: Solve for x
    x = 9,528,924.20/3,789.10
  6. Step 6: Final answer
    x = 2,514.83

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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.