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Finding the Fourth Proportional to 3,477.83, 5,209.78 and 2,090.41

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Solution

The fourth proportional to 3,477.83, 5,209.78 and 2,090.41 is: 3,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.83 : 5,209.78 = 2,090.41 : x
  2. Step 2: Convert to fraction form
    3,477.83/5,209.78 = 2,090.41/x
  3. Step 3: Cross multiply
    3,477.83x = 5,209.78 × 2,090.41
  4. Step 4: Simplify right side
    3,477.83x = 10,890,539.71
  5. Step 5: Solve for x
    x = 10,890,539.71/3,477.83
  6. Step 6: Final answer
    x = 3,131.42

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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.