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Finding the Fourth Proportional to 5,814.93, 8,724.23 and 1,922.07

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Solution

The fourth proportional to 5,814.93, 8,724.23 and 1,922.07 is: 2,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.93 : 8,724.23 = 1,922.07 : x
  2. Step 2: Convert to fraction form
    5,814.93/8,724.23 = 1,922.07/x
  3. Step 3: Cross multiply
    5,814.93x = 8,724.23 × 1,922.07
  4. Step 4: Simplify right side
    5,814.93x = 16,768,580.76
  5. Step 5: Solve for x
    x = 16,768,580.76/5,814.93
  6. Step 6: Final answer
    x = 2,883.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.