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Finding the Fourth Proportional to 4,467.81, 6,159.90 and 3,193.22

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Solution

The fourth proportional to 4,467.81, 6,159.90 and 3,193.22 is: 4,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.81 : 6,159.90 = 3,193.22 : x
  2. Step 2: Convert to fraction form
    4,467.81/6,159.90 = 3,193.22/x
  3. Step 3: Cross multiply
    4,467.81x = 6,159.90 × 3,193.22
  4. Step 4: Simplify right side
    4,467.81x = 19,669,925.29
  5. Step 5: Solve for x
    x = 19,669,925.29/4,467.81
  6. Step 6: Final answer
    x = 4,402.59

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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.