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Finding the Fourth Proportional to 4,614.16, 6,366.69 and 2,596.99

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Solution

The fourth proportional to 4,614.16, 6,366.69 and 2,596.99 is: 3,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.16 : 6,366.69 = 2,596.99 : x
  2. Step 2: Convert to fraction form
    4,614.16/6,366.69 = 2,596.99/x
  3. Step 3: Cross multiply
    4,614.16x = 6,366.69 × 2,596.99
  4. Step 4: Simplify right side
    4,614.16x = 16,534,230.26
  5. Step 5: Solve for x
    x = 16,534,230.26/4,614.16
  6. Step 6: Final answer
    x = 3,583.37

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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.