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Finding the Fourth Proportional to 6,211.36, 8,571.54 and 3,485.80

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Solution

The fourth proportional to 6,211.36, 8,571.54 and 3,485.80 is: 4,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.36 : 8,571.54 = 3,485.80 : x
  2. Step 2: Convert to fraction form
    6,211.36/8,571.54 = 3,485.80/x
  3. Step 3: Cross multiply
    6,211.36x = 8,571.54 × 3,485.80
  4. Step 4: Simplify right side
    6,211.36x = 29,878,674.13
  5. Step 5: Solve for x
    x = 29,878,674.13/6,211.36
  6. Step 6: Final answer
    x = 4,810.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.