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Finding the Fourth Proportional to 5,775.46, 8,668.05 and 2,491

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Solution

The fourth proportional to 5,775.46, 8,668.05 and 2,491 is: 3,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.46 : 8,668.05 = 2,491 : x
  2. Step 2: Convert to fraction form
    5,775.46/8,668.05 = 2,491/x
  3. Step 3: Cross multiply
    5,775.46x = 8,668.05 × 2,491
  4. Step 4: Simplify right side
    5,775.46x = 21,592,112.55
  5. Step 5: Solve for x
    x = 21,592,112.55/5,775.46
  6. Step 6: Final answer
    x = 3,738.60

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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.