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Finding the Fourth Proportional to 4,716.68, 7,071.32 and 2,739.26

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Solution

The fourth proportional to 4,716.68, 7,071.32 and 2,739.26 is: 4,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.68 : 7,071.32 = 2,739.26 : x
  2. Step 2: Convert to fraction form
    4,716.68/7,071.32 = 2,739.26/x
  3. Step 3: Cross multiply
    4,716.68x = 7,071.32 × 2,739.26
  4. Step 4: Simplify right side
    4,716.68x = 19,370,184.02
  5. Step 5: Solve for x
    x = 19,370,184.02/4,716.68
  6. Step 6: Final answer
    x = 4,106.74

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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.