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Finding the Fourth Proportional to 4,596.39, 6,896.61 and 2,406.69

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Solution

The fourth proportional to 4,596.39, 6,896.61 and 2,406.69 is: 3,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.39 : 6,896.61 = 2,406.69 : x
  2. Step 2: Convert to fraction form
    4,596.39/6,896.61 = 2,406.69/x
  3. Step 3: Cross multiply
    4,596.39x = 6,896.61 × 2,406.69
  4. Step 4: Simplify right side
    4,596.39x = 16,598,002.32
  5. Step 5: Solve for x
    x = 16,598,002.32/4,596.39
  6. Step 6: Final answer
    x = 3,611.10

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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.