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Finding the Fourth Proportional to 4,164.26, 5,746.72 and 2,301.26

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Solution

The fourth proportional to 4,164.26, 5,746.72 and 2,301.26 is: 3,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.26 : 5,746.72 = 2,301.26 : x
  2. Step 2: Convert to fraction form
    4,164.26/5,746.72 = 2,301.26/x
  3. Step 3: Cross multiply
    4,164.26x = 5,746.72 × 2,301.26
  4. Step 4: Simplify right side
    4,164.26x = 13,224,696.87
  5. Step 5: Solve for x
    x = 13,224,696.87/4,164.26
  6. Step 6: Final answer
    x = 3,175.76

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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.