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Finding the Fourth Proportional to 5,705.07, 7,872.54 and 3,186.98

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Solution

The fourth proportional to 5,705.07, 7,872.54 and 3,186.98 is: 4,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.07 : 7,872.54 = 3,186.98 : x
  2. Step 2: Convert to fraction form
    5,705.07/7,872.54 = 3,186.98/x
  3. Step 3: Cross multiply
    5,705.07x = 7,872.54 × 3,186.98
  4. Step 4: Simplify right side
    5,705.07x = 25,089,605.74
  5. Step 5: Solve for x
    x = 25,089,605.74/5,705.07
  6. Step 6: Final answer
    x = 4,397.78

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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.