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Finding the Fourth Proportional to 3,448.35, 5,170.64 and 1,366.25

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Solution

The fourth proportional to 3,448.35, 5,170.64 and 1,366.25 is: 2,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.35 : 5,170.64 = 1,366.25 : x
  2. Step 2: Convert to fraction form
    3,448.35/5,170.64 = 1,366.25/x
  3. Step 3: Cross multiply
    3,448.35x = 5,170.64 × 1,366.25
  4. Step 4: Simplify right side
    3,448.35x = 7,064,354.22
  5. Step 5: Solve for x
    x = 7,064,354.22/3,448.35
  6. Step 6: Final answer
    x = 2,048.62

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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.