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Finding the Fourth Proportional to 3,664.39, 5,056.84 and 1,985.84

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Solution

The fourth proportional to 3,664.39, 5,056.84 and 1,985.84 is: 2,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.39 : 5,056.84 = 1,985.84 : x
  2. Step 2: Convert to fraction form
    3,664.39/5,056.84 = 1,985.84/x
  3. Step 3: Cross multiply
    3,664.39x = 5,056.84 × 1,985.84
  4. Step 4: Simplify right side
    3,664.39x = 10,042,039.93
  5. Step 5: Solve for x
    x = 10,042,039.93/3,664.39
  6. Step 6: Final answer
    x = 2,740.44

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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.