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Finding the Fourth Proportional to 4,423.14, 6,091.38 and 4,409.46

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Solution

The fourth proportional to 4,423.14, 6,091.38 and 4,409.46 is: 6,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423.14 : 6,091.38 = 4,409.46 : x
  2. Step 2: Convert to fraction form
    4,423.14/6,091.38 = 4,409.46/x
  3. Step 3: Cross multiply
    4,423.14x = 6,091.38 × 4,409.46
  4. Step 4: Simplify right side
    4,423.14x = 26,859,696.45
  5. Step 5: Solve for x
    x = 26,859,696.45/4,423.14
  6. Step 6: Final answer
    x = 6,072.54

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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.