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Finding the Fourth Proportional to 3,412.99, 4,710.12 and 2,086.31

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Solution

The fourth proportional to 3,412.99, 4,710.12 and 2,086.31 is: 2,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.99 : 4,710.12 = 2,086.31 : x
  2. Step 2: Convert to fraction form
    3,412.99/4,710.12 = 2,086.31/x
  3. Step 3: Cross multiply
    3,412.99x = 4,710.12 × 2,086.31
  4. Step 4: Simplify right side
    3,412.99x = 9,826,774.41
  5. Step 5: Solve for x
    x = 9,826,774.41/3,412.99
  6. Step 6: Final answer
    x = 2,879.23

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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.