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Finding the Fourth Proportional to 5,299.88, 7,314.02 and 2,942.12

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Solution

The fourth proportional to 5,299.88, 7,314.02 and 2,942.12 is: 4,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.88 : 7,314.02 = 2,942.12 : x
  2. Step 2: Convert to fraction form
    5,299.88/7,314.02 = 2,942.12/x
  3. Step 3: Cross multiply
    5,299.88x = 7,314.02 × 2,942.12
  4. Step 4: Simplify right side
    5,299.88x = 21,518,724.52
  5. Step 5: Solve for x
    x = 21,518,724.52/5,299.88
  6. Step 6: Final answer
    x = 4,060.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.