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Finding the Fourth Proportional to 6,277.41, 8,662.74 and 3,588.82

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Solution

The fourth proportional to 6,277.41, 8,662.74 and 3,588.82 is: 4,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.41 : 8,662.74 = 3,588.82 : x
  2. Step 2: Convert to fraction form
    6,277.41/8,662.74 = 3,588.82/x
  3. Step 3: Cross multiply
    6,277.41x = 8,662.74 × 3,588.82
  4. Step 4: Simplify right side
    6,277.41x = 31,089,014.57
  5. Step 5: Solve for x
    x = 31,089,014.57/6,277.41
  6. Step 6: Final answer
    x = 4,952.52

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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.