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Finding the Fourth Proportional to 3,415.25, 5,124.09 and 1,685.09

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Solution

The fourth proportional to 3,415.25, 5,124.09 and 1,685.09 is: 2,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.25 : 5,124.09 = 1,685.09 : x
  2. Step 2: Convert to fraction form
    3,415.25/5,124.09 = 1,685.09/x
  3. Step 3: Cross multiply
    3,415.25x = 5,124.09 × 1,685.09
  4. Step 4: Simplify right side
    3,415.25x = 8,634,552.82
  5. Step 5: Solve for x
    x = 8,634,552.82/3,415.25
  6. Step 6: Final answer
    x = 2,528.23

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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.