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Finding the Fourth Proportional to 5,698.94, 7,858.34 and 3,705.80

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Solution

The fourth proportional to 5,698.94, 7,858.34 and 3,705.80 is: 5,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.94 : 7,858.34 = 3,705.80 : x
  2. Step 2: Convert to fraction form
    5,698.94/7,858.34 = 3,705.80/x
  3. Step 3: Cross multiply
    5,698.94x = 7,858.34 × 3,705.80
  4. Step 4: Simplify right side
    5,698.94x = 29,121,436.37
  5. Step 5: Solve for x
    x = 29,121,436.37/5,698.94
  6. Step 6: Final answer
    x = 5,109.97

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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.