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Finding the Fourth Proportional to 5,696.01, 7,857.81 and 3,705.84

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Solution

The fourth proportional to 5,696.01, 7,857.81 and 3,705.84 is: 5,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.01 : 7,857.81 = 3,705.84 : x
  2. Step 2: Convert to fraction form
    5,696.01/7,857.81 = 3,705.84/x
  3. Step 3: Cross multiply
    5,696.01x = 7,857.81 × 3,705.84
  4. Step 4: Simplify right side
    5,696.01x = 29,119,786.61
  5. Step 5: Solve for x
    x = 29,119,786.61/5,696.01
  6. Step 6: Final answer
    x = 5,112.31

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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.