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Finding the Fourth Proportional to 5,668.17, 7,821.89 and 3,150.21

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Solution

The fourth proportional to 5,668.17, 7,821.89 and 3,150.21 is: 4,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.17 : 7,821.89 = 3,150.21 : x
  2. Step 2: Convert to fraction form
    5,668.17/7,821.89 = 3,150.21/x
  3. Step 3: Cross multiply
    5,668.17x = 7,821.89 × 3,150.21
  4. Step 4: Simplify right side
    5,668.17x = 24,640,541.24
  5. Step 5: Solve for x
    x = 24,640,541.24/5,668.17
  6. Step 6: Final answer
    x = 4,347.18

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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.