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Finding the Fourth Proportional to 4,216.38, 5,818.62 and 2,353.38

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Solution

The fourth proportional to 4,216.38, 5,818.62 and 2,353.38 is: 3,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.38 : 5,818.62 = 2,353.38 : x
  2. Step 2: Convert to fraction form
    4,216.38/5,818.62 = 2,353.38/x
  3. Step 3: Cross multiply
    4,216.38x = 5,818.62 × 2,353.38
  4. Step 4: Simplify right side
    4,216.38x = 13,693,423.94
  5. Step 5: Solve for x
    x = 13,693,423.94/4,216.38
  6. Step 6: Final answer
    x = 3,247.67

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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.