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Finding the Fourth Proportional to 4,182.85, 5,772.11 and 2,414.35

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Solution

The fourth proportional to 4,182.85, 5,772.11 and 2,414.35 is: 3,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.85 : 5,772.11 = 2,414.35 : x
  2. Step 2: Convert to fraction form
    4,182.85/5,772.11 = 2,414.35/x
  3. Step 3: Cross multiply
    4,182.85x = 5,772.11 × 2,414.35
  4. Step 4: Simplify right side
    4,182.85x = 13,935,885.38
  5. Step 5: Solve for x
    x = 13,935,885.38/4,182.85
  6. Step 6: Final answer
    x = 3,331.67

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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.