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Finding the Fourth Proportional to 5,300.42, 7,314.63 and 2,942.78

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Solution

The fourth proportional to 5,300.42, 7,314.63 and 2,942.78 is: 4,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.42 : 7,314.63 = 2,942.78 : x
  2. Step 2: Convert to fraction form
    5,300.42/7,314.63 = 2,942.78/x
  3. Step 3: Cross multiply
    5,300.42x = 7,314.63 × 2,942.78
  4. Step 4: Simplify right side
    5,300.42x = 21,525,346.87
  5. Step 5: Solve for x
    x = 21,525,346.87/5,300.42
  6. Step 6: Final answer
    x = 4,061.06

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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.