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Finding the Fourth Proportional to 4,684.72, 6,464.80 and 2,696.37

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Solution

The fourth proportional to 4,684.72, 6,464.80 and 2,696.37 is: 3,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.72 : 6,464.80 = 2,696.37 : x
  2. Step 2: Convert to fraction form
    4,684.72/6,464.80 = 2,696.37/x
  3. Step 3: Cross multiply
    4,684.72x = 6,464.80 × 2,696.37
  4. Step 4: Simplify right side
    4,684.72x = 17,431,493.10
  5. Step 5: Solve for x
    x = 17,431,493.10/4,684.72
  6. Step 6: Final answer
    x = 3,720.93

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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.