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Finding the Fourth Proportional to 3,493.48, 5,237.09 and 1,300.71

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Solution

The fourth proportional to 3,493.48, 5,237.09 and 1,300.71 is: 1,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.48 : 5,237.09 = 1,300.71 : x
  2. Step 2: Convert to fraction form
    3,493.48/5,237.09 = 1,300.71/x
  3. Step 3: Cross multiply
    3,493.48x = 5,237.09 × 1,300.71
  4. Step 4: Simplify right side
    3,493.48x = 6,811,928.83
  5. Step 5: Solve for x
    x = 6,811,928.83/3,493.48
  6. Step 6: Final answer
    x = 1,949.90

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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.