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Finding the Fourth Proportional to 3,211.77, 4,808.24 and 2,596.65

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Solution

The fourth proportional to 3,211.77, 4,808.24 and 2,596.65 is: 3,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.77 : 4,808.24 = 2,596.65 : x
  2. Step 2: Convert to fraction form
    3,211.77/4,808.24 = 2,596.65/x
  3. Step 3: Cross multiply
    3,211.77x = 4,808.24 × 2,596.65
  4. Step 4: Simplify right side
    3,211.77x = 12,485,316.40
  5. Step 5: Solve for x
    x = 12,485,316.40/3,211.77
  6. Step 6: Final answer
    x = 3,887.36

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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.