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Finding the Fourth Proportional to 5,703.35, 7,871.00 and 3,185.46

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Solution

The fourth proportional to 5,703.35, 7,871.00 and 3,185.46 is: 4,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.35 : 7,871.00 = 3,185.46 : x
  2. Step 2: Convert to fraction form
    5,703.35/7,871.00 = 3,185.46/x
  3. Step 3: Cross multiply
    5,703.35x = 7,871.00 × 3,185.46
  4. Step 4: Simplify right side
    5,703.35x = 25,072,739.73
  5. Step 5: Solve for x
    x = 25,072,739.73/5,703.35
  6. Step 6: Final answer
    x = 4,396.15

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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.