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Finding the Fourth Proportional to 5,696.98, 7,860.58 and 3,305.57

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Solution

The fourth proportional to 5,696.98, 7,860.58 and 3,305.57 is: 4,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.98 : 7,860.58 = 3,305.57 : x
  2. Step 2: Convert to fraction form
    5,696.98/7,860.58 = 3,305.57/x
  3. Step 3: Cross multiply
    5,696.98x = 7,860.58 × 3,305.57
  4. Step 4: Simplify right side
    5,696.98x = 25,983,705.13
  5. Step 5: Solve for x
    x = 25,983,705.13/5,696.98
  6. Step 6: Final answer
    x = 4,560.96

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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.