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Finding the Fourth Proportional to 3,697.15, 5,100.72 and 2,846.66

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Solution

The fourth proportional to 3,697.15, 5,100.72 and 2,846.66 is: 3,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.15 : 5,100.72 = 2,846.66 : x
  2. Step 2: Convert to fraction form
    3,697.15/5,100.72 = 2,846.66/x
  3. Step 3: Cross multiply
    3,697.15x = 5,100.72 × 2,846.66
  4. Step 4: Simplify right side
    3,697.15x = 14,520,015.60
  5. Step 5: Solve for x
    x = 14,520,015.60/3,697.15
  6. Step 6: Final answer
    x = 3,927.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.