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Finding the Fourth Proportional to 3,735.34, 5,154.64 and 2,056.74

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Solution

The fourth proportional to 3,735.34, 5,154.64 and 2,056.74 is: 2,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.34 : 5,154.64 = 2,056.74 : x
  2. Step 2: Convert to fraction form
    3,735.34/5,154.64 = 2,056.74/x
  3. Step 3: Cross multiply
    3,735.34x = 5,154.64 × 2,056.74
  4. Step 4: Simplify right side
    3,735.34x = 10,601,754.27
  5. Step 5: Solve for x
    x = 10,601,754.27/3,735.34
  6. Step 6: Final answer
    x = 2,838.23

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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.