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Finding the Fourth Proportional to 3,735.39, 5,154.63 and 2,056.73

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Solution

The fourth proportional to 3,735.39, 5,154.63 and 2,056.73 is: 2,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.39 : 5,154.63 = 2,056.73 : x
  2. Step 2: Convert to fraction form
    3,735.39/5,154.63 = 2,056.73/x
  3. Step 3: Cross multiply
    3,735.39x = 5,154.63 × 2,056.73
  4. Step 4: Simplify right side
    3,735.39x = 10,601,646.10
  5. Step 5: Solve for x
    x = 10,601,646.10/3,735.39
  6. Step 6: Final answer
    x = 2,838.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.