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Finding the Fourth Proportional to 3,506.34, 5,257.97 and 1,313.53

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Solution

The fourth proportional to 3,506.34, 5,257.97 and 1,313.53 is: 1,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.34 : 5,257.97 = 1,313.53 : x
  2. Step 2: Convert to fraction form
    3,506.34/5,257.97 = 1,313.53/x
  3. Step 3: Cross multiply
    3,506.34x = 5,257.97 × 1,313.53
  4. Step 4: Simplify right side
    3,506.34x = 6,906,501.33
  5. Step 5: Solve for x
    x = 6,906,501.33/3,506.34
  6. Step 6: Final answer
    x = 1,969.72

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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.