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Finding the Fourth Proportional to 4,256, 5,874.72 and 3,017.60

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Solution

The fourth proportional to 4,256, 5,874.72 and 3,017.60 is: 4,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256 : 5,874.72 = 3,017.60 : x
  2. Step 2: Convert to fraction form
    4,256/5,874.72 = 3,017.60/x
  3. Step 3: Cross multiply
    4,256x = 5,874.72 × 3,017.60
  4. Step 4: Simplify right side
    4,256x = 17,727,555.07
  5. Step 5: Solve for x
    x = 17,727,555.07/4,256
  6. Step 6: Final answer
    x = 4,165.31

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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.