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Finding the Fourth Proportional to 3,497.37, 4,826.71 and 2,611.63

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Solution

The fourth proportional to 3,497.37, 4,826.71 and 2,611.63 is: 3,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.37 : 4,826.71 = 2,611.63 : x
  2. Step 2: Convert to fraction form
    3,497.37/4,826.71 = 2,611.63/x
  3. Step 3: Cross multiply
    3,497.37x = 4,826.71 × 2,611.63
  4. Step 4: Simplify right side
    3,497.37x = 12,605,575.24
  5. Step 5: Solve for x
    x = 12,605,575.24/3,497.37
  6. Step 6: Final answer
    x = 3,604.31

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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.