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Finding the Fourth Proportional to 4,969.71, 7,438.34 and 3,653.12

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Solution

The fourth proportional to 4,969.71, 7,438.34 and 3,653.12 is: 5,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.71 : 7,438.34 = 3,653.12 : x
  2. Step 2: Convert to fraction form
    4,969.71/7,438.34 = 3,653.12/x
  3. Step 3: Cross multiply
    4,969.71x = 7,438.34 × 3,653.12
  4. Step 4: Simplify right side
    4,969.71x = 27,173,148.62
  5. Step 5: Solve for x
    x = 27,173,148.62/4,969.71
  6. Step 6: Final answer
    x = 5,467.75

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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.