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Finding the Fourth Proportional to 5,606.16, 7,733.90 and 3,617.36

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Solution

The fourth proportional to 5,606.16, 7,733.90 and 3,617.36 is: 4,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.16 : 7,733.90 = 3,617.36 : x
  2. Step 2: Convert to fraction form
    5,606.16/7,733.90 = 3,617.36/x
  3. Step 3: Cross multiply
    5,606.16x = 7,733.90 × 3,617.36
  4. Step 4: Simplify right side
    5,606.16x = 27,976,243.75
  5. Step 5: Solve for x
    x = 27,976,243.75/5,606.16
  6. Step 6: Final answer
    x = 4,990.27

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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.