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Finding the Fourth Proportional to 4,179.63, 6,268.64 and 2,099.07

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Solution

The fourth proportional to 4,179.63, 6,268.64 and 2,099.07 is: 3,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.63 : 6,268.64 = 2,099.07 : x
  2. Step 2: Convert to fraction form
    4,179.63/6,268.64 = 2,099.07/x
  3. Step 3: Cross multiply
    4,179.63x = 6,268.64 × 2,099.07
  4. Step 4: Simplify right side
    4,179.63x = 13,158,314.16
  5. Step 5: Solve for x
    x = 13,158,314.16/4,179.63
  6. Step 6: Final answer
    x = 3,148.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.