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Finding the Fourth Proportional to 3,496.34, 5,244.74 and 1,156.31

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Solution

The fourth proportional to 3,496.34, 5,244.74 and 1,156.31 is: 1,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.34 : 5,244.74 = 1,156.31 : x
  2. Step 2: Convert to fraction form
    3,496.34/5,244.74 = 1,156.31/x
  3. Step 3: Cross multiply
    3,496.34x = 5,244.74 × 1,156.31
  4. Step 4: Simplify right side
    3,496.34x = 6,064,513.30
  5. Step 5: Solve for x
    x = 6,064,513.30/3,496.34
  6. Step 6: Final answer
    x = 1,734.53

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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.