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Finding the Fourth Proportional to 6,485.77, 8,951.70 and 4,219.94

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Solution

The fourth proportional to 6,485.77, 8,951.70 and 4,219.94 is: 5,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.77 : 8,951.70 = 4,219.94 : x
  2. Step 2: Convert to fraction form
    6,485.77/8,951.70 = 4,219.94/x
  3. Step 3: Cross multiply
    6,485.77x = 8,951.70 × 4,219.94
  4. Step 4: Simplify right side
    6,485.77x = 37,775,636.90
  5. Step 5: Solve for x
    x = 37,775,636.90/6,485.77
  6. Step 6: Final answer
    x = 5,824.39

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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.