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Finding the Fourth Proportional to 3,709.85, 5,119.58 and 2,053.85

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Solution

The fourth proportional to 3,709.85, 5,119.58 and 2,053.85 is: 2,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.85 : 5,119.58 = 2,053.85 : x
  2. Step 2: Convert to fraction form
    3,709.85/5,119.58 = 2,053.85/x
  3. Step 3: Cross multiply
    3,709.85x = 5,119.58 × 2,053.85
  4. Step 4: Simplify right side
    3,709.85x = 10,514,841.72
  5. Step 5: Solve for x
    x = 10,514,841.72/3,709.85
  6. Step 6: Final answer
    x = 2,834.31

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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.