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Finding the Fourth Proportional to 5,164.01, 7,746.04 and 1,268.42

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Solution

The fourth proportional to 5,164.01, 7,746.04 and 1,268.42 is: 1,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.01 : 7,746.04 = 1,268.42 : x
  2. Step 2: Convert to fraction form
    5,164.01/7,746.04 = 1,268.42/x
  3. Step 3: Cross multiply
    5,164.01x = 7,746.04 × 1,268.42
  4. Step 4: Simplify right side
    5,164.01x = 9,825,193.33
  5. Step 5: Solve for x
    x = 9,825,193.33/5,164.01
  6. Step 6: Final answer
    x = 1,902.63

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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.