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Finding the Fourth Proportional to 3,596.16, 4,964.04 and 2,269.92

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Solution

The fourth proportional to 3,596.16, 4,964.04 and 2,269.92 is: 3,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.16 : 4,964.04 = 2,269.92 : x
  2. Step 2: Convert to fraction form
    3,596.16/4,964.04 = 2,269.92/x
  3. Step 3: Cross multiply
    3,596.16x = 4,964.04 × 2,269.92
  4. Step 4: Simplify right side
    3,596.16x = 11,267,973.68
  5. Step 5: Solve for x
    x = 11,267,973.68/3,596.16
  6. Step 6: Final answer
    x = 3,133.33

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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.