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Finding the Fourth Proportional to 3,493.40, 5,241.24 and 1,153.46

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Solution

The fourth proportional to 3,493.40, 5,241.24 and 1,153.46 is: 1,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.40 : 5,241.24 = 1,153.46 : x
  2. Step 2: Convert to fraction form
    3,493.40/5,241.24 = 1,153.46/x
  3. Step 3: Cross multiply
    3,493.40x = 5,241.24 × 1,153.46
  4. Step 4: Simplify right side
    3,493.40x = 6,045,573.79
  5. Step 5: Solve for x
    x = 6,045,573.79/3,493.40
  6. Step 6: Final answer
    x = 1,730.57

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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.