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Finding the Fourth Proportional to 5,256.42, 7,256.93 and 3,268.07

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Solution

The fourth proportional to 5,256.42, 7,256.93 and 3,268.07 is: 4,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.42 : 7,256.93 = 3,268.07 : x
  2. Step 2: Convert to fraction form
    5,256.42/7,256.93 = 3,268.07/x
  3. Step 3: Cross multiply
    5,256.42x = 7,256.93 × 3,268.07
  4. Step 4: Simplify right side
    5,256.42x = 23,716,102.60
  5. Step 5: Solve for x
    x = 23,716,102.60/5,256.42
  6. Step 6: Final answer
    x = 4,511.84

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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.