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Finding the Fourth Proportional to 4,164.66, 5,746.86 and 2,396.16

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Solution

The fourth proportional to 4,164.66, 5,746.86 and 2,396.16 is: 3,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.66 : 5,746.86 = 2,396.16 : x
  2. Step 2: Convert to fraction form
    4,164.66/5,746.86 = 2,396.16/x
  3. Step 3: Cross multiply
    4,164.66x = 5,746.86 × 2,396.16
  4. Step 4: Simplify right side
    4,164.66x = 13,770,396.06
  5. Step 5: Solve for x
    x = 13,770,396.06/4,164.66
  6. Step 6: Final answer
    x = 3,306.49

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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.