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Finding the Fourth Proportional to 3,496.05, 5,239.44 and 1,302.57

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Solution

The fourth proportional to 3,496.05, 5,239.44 and 1,302.57 is: 1,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.05 : 5,239.44 = 1,302.57 : x
  2. Step 2: Convert to fraction form
    3,496.05/5,239.44 = 1,302.57/x
  3. Step 3: Cross multiply
    3,496.05x = 5,239.44 × 1,302.57
  4. Step 4: Simplify right side
    3,496.05x = 6,824,737.36
  5. Step 5: Solve for x
    x = 6,824,737.36/3,496.05
  6. Step 6: Final answer
    x = 1,952.13

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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.