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Finding the Fourth Proportional to 5,428.52, 7,490.18 and 3,189.80

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Solution

The fourth proportional to 5,428.52, 7,490.18 and 3,189.80 is: 4,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.52 : 7,490.18 = 3,189.80 : x
  2. Step 2: Convert to fraction form
    5,428.52/7,490.18 = 3,189.80/x
  3. Step 3: Cross multiply
    5,428.52x = 7,490.18 × 3,189.80
  4. Step 4: Simplify right side
    5,428.52x = 23,892,176.16
  5. Step 5: Solve for x
    x = 23,892,176.16/5,428.52
  6. Step 6: Final answer
    x = 4,401.23

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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.