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Finding the Fourth Proportional to 5,842.81, 8,022.30 and 5,690.57

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Solution

The fourth proportional to 5,842.81, 8,022.30 and 5,690.57 is: 7,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.81 : 8,022.30 = 5,690.57 : x
  2. Step 2: Convert to fraction form
    5,842.81/8,022.30 = 5,690.57/x
  3. Step 3: Cross multiply
    5,842.81x = 8,022.30 × 5,690.57
  4. Step 4: Simplify right side
    5,842.81x = 45,651,431.26
  5. Step 5: Solve for x
    x = 45,651,431.26/5,842.81
  6. Step 6: Final answer
    x = 7,813.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.