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Finding the Fourth Proportional to 4,156, 5,735.40 and 2,293.12

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Solution

The fourth proportional to 4,156, 5,735.40 and 2,293.12 is: 3,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156 : 5,735.40 = 2,293.12 : x
  2. Step 2: Convert to fraction form
    4,156/5,735.40 = 2,293.12/x
  3. Step 3: Cross multiply
    4,156x = 5,735.40 × 2,293.12
  4. Step 4: Simplify right side
    4,156x = 13,151,960.45
  5. Step 5: Solve for x
    x = 13,151,960.45/4,156
  6. Step 6: Final answer
    x = 3,164.57

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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.