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Finding the Fourth Proportional to 5,606.43, 7,736.86 and 3,088.57

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Solution

The fourth proportional to 5,606.43, 7,736.86 and 3,088.57 is: 4,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.43 : 7,736.86 = 3,088.57 : x
  2. Step 2: Convert to fraction form
    5,606.43/7,736.86 = 3,088.57/x
  3. Step 3: Cross multiply
    5,606.43x = 7,736.86 × 3,088.57
  4. Step 4: Simplify right side
    5,606.43x = 23,895,833.69
  5. Step 5: Solve for x
    x = 23,895,833.69/5,606.43
  6. Step 6: Final answer
    x = 4,262.22

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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.