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Finding the Fourth Proportional to 6,152.80, 8,491.50 and 3,635.72

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Solution

The fourth proportional to 6,152.80, 8,491.50 and 3,635.72 is: 5,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.80 : 8,491.50 = 3,635.72 : x
  2. Step 2: Convert to fraction form
    6,152.80/8,491.50 = 3,635.72/x
  3. Step 3: Cross multiply
    6,152.80x = 8,491.50 × 3,635.72
  4. Step 4: Simplify right side
    6,152.80x = 30,872,716.38
  5. Step 5: Solve for x
    x = 30,872,716.38/6,152.80
  6. Step 6: Final answer
    x = 5,017.67

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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.