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Finding the Fourth Proportional to 5,790.66, 7,990.83 and 3,668.46

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Solution

The fourth proportional to 5,790.66, 7,990.83 and 3,668.46 is: 5,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.66 : 7,990.83 = 3,668.46 : x
  2. Step 2: Convert to fraction form
    5,790.66/7,990.83 = 3,668.46/x
  3. Step 3: Cross multiply
    5,790.66x = 7,990.83 × 3,668.46
  4. Step 4: Simplify right side
    5,790.66x = 29,314,040.22
  5. Step 5: Solve for x
    x = 29,314,040.22/5,790.66
  6. Step 6: Final answer
    x = 5,062.30

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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.