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Finding the Fourth Proportional to 3,618.63, 5,424.86 and 3,446.40

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Solution

The fourth proportional to 3,618.63, 5,424.86 and 3,446.40 is: 5,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.63 : 5,424.86 = 3,446.40 : x
  2. Step 2: Convert to fraction form
    3,618.63/5,424.86 = 3,446.40/x
  3. Step 3: Cross multiply
    3,618.63x = 5,424.86 × 3,446.40
  4. Step 4: Simplify right side
    3,618.63x = 18,696,237.50
  5. Step 5: Solve for x
    x = 18,696,237.50/3,618.63
  6. Step 6: Final answer
    x = 5,166.67

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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.