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Finding the Fourth Proportional to 3,204.70, 4,415.93 and 2,364.08

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Solution

The fourth proportional to 3,204.70, 4,415.93 and 2,364.08 is: 3,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.70 : 4,415.93 = 2,364.08 : x
  2. Step 2: Convert to fraction form
    3,204.70/4,415.93 = 2,364.08/x
  3. Step 3: Cross multiply
    3,204.70x = 4,415.93 × 2,364.08
  4. Step 4: Simplify right side
    3,204.70x = 10,439,577.89
  5. Step 5: Solve for x
    x = 10,439,577.89/3,204.70
  6. Step 6: Final answer
    x = 3,257.58

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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.