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Finding the Fourth Proportional to 3,415.76, 5,131.84 and 2,185.57

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Solution

The fourth proportional to 3,415.76, 5,131.84 and 2,185.57 is: 3,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.76 : 5,131.84 = 2,185.57 : x
  2. Step 2: Convert to fraction form
    3,415.76/5,131.84 = 2,185.57/x
  3. Step 3: Cross multiply
    3,415.76x = 5,131.84 × 2,185.57
  4. Step 4: Simplify right side
    3,415.76x = 11,215,995.55
  5. Step 5: Solve for x
    x = 11,215,995.55/3,415.76
  6. Step 6: Final answer
    x = 3,283.60

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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.