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Finding the Fourth Proportional to 4,185.64, 6,302.93 and 3,097.64

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Solution

The fourth proportional to 4,185.64, 6,302.93 and 3,097.64 is: 4,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.64 : 6,302.93 = 3,097.64 : x
  2. Step 2: Convert to fraction form
    4,185.64/6,302.93 = 3,097.64/x
  3. Step 3: Cross multiply
    4,185.64x = 6,302.93 × 3,097.64
  4. Step 4: Simplify right side
    4,185.64x = 19,524,208.09
  5. Step 5: Solve for x
    x = 19,524,208.09/4,185.64
  6. Step 6: Final answer
    x = 4,664.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.