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Finding the Fourth Proportional to 5,571.48, 7,698.78 and 3,711

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Solution

The fourth proportional to 5,571.48, 7,698.78 and 3,711 is: 5,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.48 : 7,698.78 = 3,711 : x
  2. Step 2: Convert to fraction form
    5,571.48/7,698.78 = 3,711/x
  3. Step 3: Cross multiply
    5,571.48x = 7,698.78 × 3,711
  4. Step 4: Simplify right side
    5,571.48x = 28,570,172.58
  5. Step 5: Solve for x
    x = 28,570,172.58/5,571.48
  6. Step 6: Final answer
    x = 5,127.93

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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.