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Finding the Fourth Proportional to 5,300.14, 7,314.06 and 2,942.24

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Solution

The fourth proportional to 5,300.14, 7,314.06 and 2,942.24 is: 4,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.14 : 7,314.06 = 2,942.24 : x
  2. Step 2: Convert to fraction form
    5,300.14/7,314.06 = 2,942.24/x
  3. Step 3: Cross multiply
    5,300.14x = 7,314.06 × 2,942.24
  4. Step 4: Simplify right side
    5,300.14x = 21,519,719.89
  5. Step 5: Solve for x
    x = 21,519,719.89/5,300.14
  6. Step 6: Final answer
    x = 4,060.22

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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.