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Finding the Fourth Proportional to 4,477.97, 6,711.39 and 3,745.32

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Solution

The fourth proportional to 4,477.97, 6,711.39 and 3,745.32 is: 5,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.97 : 6,711.39 = 3,745.32 : x
  2. Step 2: Convert to fraction form
    4,477.97/6,711.39 = 3,745.32/x
  3. Step 3: Cross multiply
    4,477.97x = 6,711.39 × 3,745.32
  4. Step 4: Simplify right side
    4,477.97x = 25,136,303.19
  5. Step 5: Solve for x
    x = 25,136,303.19/4,477.97
  6. Step 6: Final answer
    x = 5,613.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.