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Finding the Fourth Proportional to 3,400.89, 5,100.25 and 2,312.25

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Solution

The fourth proportional to 3,400.89, 5,100.25 and 2,312.25 is: 3,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.89 : 5,100.25 = 2,312.25 : x
  2. Step 2: Convert to fraction form
    3,400.89/5,100.25 = 2,312.25/x
  3. Step 3: Cross multiply
    3,400.89x = 5,100.25 × 2,312.25
  4. Step 4: Simplify right side
    3,400.89x = 11,793,053.06
  5. Step 5: Solve for x
    x = 11,793,053.06/3,400.89
  6. Step 6: Final answer
    x = 3,467.64

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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.