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Finding the Fourth Proportional to 3,448.98, 5,176.47 and 1,806.68

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Solution

The fourth proportional to 3,448.98, 5,176.47 and 1,806.68 is: 2,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.98 : 5,176.47 = 1,806.68 : x
  2. Step 2: Convert to fraction form
    3,448.98/5,176.47 = 1,806.68/x
  3. Step 3: Cross multiply
    3,448.98x = 5,176.47 × 1,806.68
  4. Step 4: Simplify right side
    3,448.98x = 9,352,224.82
  5. Step 5: Solve for x
    x = 9,352,224.82/3,448.98
  6. Step 6: Final answer
    x = 2,711.59

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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.