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Finding the Fourth Proportional to 3,506.53, 4,839.63 and 2,090.31

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Solution

The fourth proportional to 3,506.53, 4,839.63 and 2,090.31 is: 2,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.53 : 4,839.63 = 2,090.31 : x
  2. Step 2: Convert to fraction form
    3,506.53/4,839.63 = 2,090.31/x
  3. Step 3: Cross multiply
    3,506.53x = 4,839.63 × 2,090.31
  4. Step 4: Simplify right side
    3,506.53x = 10,116,314.44
  5. Step 5: Solve for x
    x = 10,116,314.44/3,506.53
  6. Step 6: Final answer
    x = 2,884.99

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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.