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Finding the Fourth Proportional to 5,393.65, 8,090.19 and 1,882.57

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Solution

The fourth proportional to 5,393.65, 8,090.19 and 1,882.57 is: 2,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.65 : 8,090.19 = 1,882.57 : x
  2. Step 2: Convert to fraction form
    5,393.65/8,090.19 = 1,882.57/x
  3. Step 3: Cross multiply
    5,393.65x = 8,090.19 × 1,882.57
  4. Step 4: Simplify right side
    5,393.65x = 15,230,348.99
  5. Step 5: Solve for x
    x = 15,230,348.99/5,393.65
  6. Step 6: Final answer
    x = 2,823.76

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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.