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Finding the Fourth Proportional to 3,735, 5,154.14 and 2,056.38

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Solution

The fourth proportional to 3,735, 5,154.14 and 2,056.38 is: 2,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735 : 5,154.14 = 2,056.38 : x
  2. Step 2: Convert to fraction form
    3,735/5,154.14 = 2,056.38/x
  3. Step 3: Cross multiply
    3,735x = 5,154.14 × 2,056.38
  4. Step 4: Simplify right side
    3,735x = 10,598,860.13
  5. Step 5: Solve for x
    x = 10,598,860.13/3,735
  6. Step 6: Final answer
    x = 2,837.71

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1.5x scale

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.