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Finding the Fourth Proportional to 4,668.35, 6,441.74 and 3,159.21

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Solution

The fourth proportional to 4,668.35, 6,441.74 and 3,159.21 is: 4,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.35 : 6,441.74 = 3,159.21 : x
  2. Step 2: Convert to fraction form
    4,668.35/6,441.74 = 3,159.21/x
  3. Step 3: Cross multiply
    4,668.35x = 6,441.74 × 3,159.21
  4. Step 4: Simplify right side
    4,668.35x = 20,350,809.43
  5. Step 5: Solve for x
    x = 20,350,809.43/4,668.35
  6. Step 6: Final answer
    x = 4,359.32

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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.