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Finding the Fourth Proportional to 3,785.78, 5,678.68 and 1,596.06

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Solution

The fourth proportional to 3,785.78, 5,678.68 and 1,596.06 is: 2,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.78 : 5,678.68 = 1,596.06 : x
  2. Step 2: Convert to fraction form
    3,785.78/5,678.68 = 1,596.06/x
  3. Step 3: Cross multiply
    3,785.78x = 5,678.68 × 1,596.06
  4. Step 4: Simplify right side
    3,785.78x = 9,063,514.00
  5. Step 5: Solve for x
    x = 9,063,514.00/3,785.78
  6. Step 6: Final answer
    x = 2,394.09

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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.