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Finding the Fourth Proportional to 5,300.55, 7,314.93 and 2,942.64

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Solution

The fourth proportional to 5,300.55, 7,314.93 and 2,942.64 is: 4,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.55 : 7,314.93 = 2,942.64 : x
  2. Step 2: Convert to fraction form
    5,300.55/7,314.93 = 2,942.64/x
  3. Step 3: Cross multiply
    5,300.55x = 7,314.93 × 2,942.64
  4. Step 4: Simplify right side
    5,300.55x = 21,525,205.62
  5. Step 5: Solve for x
    x = 21,525,205.62/5,300.55
  6. Step 6: Final answer
    x = 4,060.94

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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.