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Finding the Fourth Proportional to 3,448.65, 5,175.45 and 1,259.22

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Solution

The fourth proportional to 3,448.65, 5,175.45 and 1,259.22 is: 1,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.65 : 5,175.45 = 1,259.22 : x
  2. Step 2: Convert to fraction form
    3,448.65/5,175.45 = 1,259.22/x
  3. Step 3: Cross multiply
    3,448.65x = 5,175.45 × 1,259.22
  4. Step 4: Simplify right side
    3,448.65x = 6,517,030.15
  5. Step 5: Solve for x
    x = 6,517,030.15/3,448.65
  6. Step 6: Final answer
    x = 1,889.73

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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.