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Finding the Fourth Proportional to 6,204.36, 8,561.80 and 3,409.84

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Solution

The fourth proportional to 6,204.36, 8,561.80 and 3,409.84 is: 4,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.36 : 8,561.80 = 3,409.84 : x
  2. Step 2: Convert to fraction form
    6,204.36/8,561.80 = 3,409.84/x
  3. Step 3: Cross multiply
    6,204.36x = 8,561.80 × 3,409.84
  4. Step 4: Simplify right side
    6,204.36x = 29,194,368.11
  5. Step 5: Solve for x
    x = 29,194,368.11/6,204.36
  6. Step 6: Final answer
    x = 4,705.46

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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.