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Finding the Fourth Proportional to 3,685.35, 5,078.64 and 3,056.79

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Solution

The fourth proportional to 3,685.35, 5,078.64 and 3,056.79 is: 4,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.35 : 5,078.64 = 3,056.79 : x
  2. Step 2: Convert to fraction form
    3,685.35/5,078.64 = 3,056.79/x
  3. Step 3: Cross multiply
    3,685.35x = 5,078.64 × 3,056.79
  4. Step 4: Simplify right side
    3,685.35x = 15,524,335.97
  5. Step 5: Solve for x
    x = 15,524,335.97/3,685.35
  6. Step 6: Final answer
    x = 4,212.45

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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.