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Finding the Fourth Proportional to 3,735.44, 5,154.78 and 2,056.88

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Solution

The fourth proportional to 3,735.44, 5,154.78 and 2,056.88 is: 2,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.44 : 5,154.78 = 2,056.88 : x
  2. Step 2: Convert to fraction form
    3,735.44/5,154.78 = 2,056.88/x
  3. Step 3: Cross multiply
    3,735.44x = 5,154.78 × 2,056.88
  4. Step 4: Simplify right side
    3,735.44x = 10,602,763.89
  5. Step 5: Solve for x
    x = 10,602,763.89/3,735.44
  6. Step 6: Final answer
    x = 2,838.42

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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.