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Finding the Fourth Proportional to 4,164.24, 5,746.80 and 2,301.24

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Solution

The fourth proportional to 4,164.24, 5,746.80 and 2,301.24 is: 3,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.24 : 5,746.80 = 2,301.24 : x
  2. Step 2: Convert to fraction form
    4,164.24/5,746.80 = 2,301.24/x
  3. Step 3: Cross multiply
    4,164.24x = 5,746.80 × 2,301.24
  4. Step 4: Simplify right side
    4,164.24x = 13,224,766.03
  5. Step 5: Solve for x
    x = 13,224,766.03/4,164.24
  6. Step 6: Final answer
    x = 3,175.79

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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.