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Finding the Fourth Proportional to 4,674.38, 6,452.42 and 3,182.94

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Solution

The fourth proportional to 4,674.38, 6,452.42 and 3,182.94 is: 4,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.38 : 6,452.42 = 3,182.94 : x
  2. Step 2: Convert to fraction form
    4,674.38/6,452.42 = 3,182.94/x
  3. Step 3: Cross multiply
    4,674.38x = 6,452.42 × 3,182.94
  4. Step 4: Simplify right side
    4,674.38x = 20,537,649.80
  5. Step 5: Solve for x
    x = 20,537,649.80/4,674.38
  6. Step 6: Final answer
    x = 4,393.67

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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.