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Finding the Fourth Proportional to 5,359.89, 7,389.49 and 3,680.66

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Solution

The fourth proportional to 5,359.89, 7,389.49 and 3,680.66 is: 5,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.89 : 7,389.49 = 3,680.66 : x
  2. Step 2: Convert to fraction form
    5,359.89/7,389.49 = 3,680.66/x
  3. Step 3: Cross multiply
    5,359.89x = 7,389.49 × 3,680.66
  4. Step 4: Simplify right side
    5,359.89x = 27,198,200.26
  5. Step 5: Solve for x
    x = 27,198,200.26/5,359.89
  6. Step 6: Final answer
    x = 5,074.40

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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.