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Finding the Fourth Proportional to 3,504.33, 5,257.41 and 1,313.10

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Solution

The fourth proportional to 3,504.33, 5,257.41 and 1,313.10 is: 1,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.33 : 5,257.41 = 1,313.10 : x
  2. Step 2: Convert to fraction form
    3,504.33/5,257.41 = 1,313.10/x
  3. Step 3: Cross multiply
    3,504.33x = 5,257.41 × 1,313.10
  4. Step 4: Simplify right side
    3,504.33x = 6,903,505.07
  5. Step 5: Solve for x
    x = 6,903,505.07/3,504.33
  6. Step 6: Final answer
    x = 1,969.99

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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.