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Finding the Fourth Proportional to 5,696.30, 7,857.73 and 3,337.99

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Solution

The fourth proportional to 5,696.30, 7,857.73 and 3,337.99 is: 4,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.30 : 7,857.73 = 3,337.99 : x
  2. Step 2: Convert to fraction form
    5,696.30/7,857.73 = 3,337.99/x
  3. Step 3: Cross multiply
    5,696.30x = 7,857.73 × 3,337.99
  4. Step 4: Simplify right side
    5,696.30x = 26,229,024.16
  5. Step 5: Solve for x
    x = 26,229,024.16/5,696.30
  6. Step 6: Final answer
    x = 4,604.57

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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.