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Finding the Fourth Proportional to 4,477.86, 6,683.91 and 4,147.99

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Solution

The fourth proportional to 4,477.86, 6,683.91 and 4,147.99 is: 6,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.86 : 6,683.91 = 4,147.99 : x
  2. Step 2: Convert to fraction form
    4,477.86/6,683.91 = 4,147.99/x
  3. Step 3: Cross multiply
    4,477.86x = 6,683.91 × 4,147.99
  4. Step 4: Simplify right side
    4,477.86x = 27,724,791.84
  5. Step 5: Solve for x
    x = 27,724,791.84/4,477.86
  6. Step 6: Final answer
    x = 6,191.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.