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Finding the Fourth Proportional to 4,471.84, 6,695.20 and 3,633.92

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Solution

The fourth proportional to 4,471.84, 6,695.20 and 3,633.92 is: 5,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.84 : 6,695.20 = 3,633.92 : x
  2. Step 2: Convert to fraction form
    4,471.84/6,695.20 = 3,633.92/x
  3. Step 3: Cross multiply
    4,471.84x = 6,695.20 × 3,633.92
  4. Step 4: Simplify right side
    4,471.84x = 24,329,821.18
  5. Step 5: Solve for x
    x = 24,329,821.18/4,471.84
  6. Step 6: Final answer
    x = 5,440.67

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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.