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Finding the Fourth Proportional to 5,399.60, 7,450.30 and 4,142.08

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Solution

The fourth proportional to 5,399.60, 7,450.30 and 4,142.08 is: 5,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.60 : 7,450.30 = 4,142.08 : x
  2. Step 2: Convert to fraction form
    5,399.60/7,450.30 = 4,142.08/x
  3. Step 3: Cross multiply
    5,399.60x = 7,450.30 × 4,142.08
  4. Step 4: Simplify right side
    5,399.60x = 30,859,738.62
  5. Step 5: Solve for x
    x = 30,859,738.62/5,399.60
  6. Step 6: Final answer
    x = 5,715.19

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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.