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Finding the Fourth Proportional to 5,406.27, 7,458.93 and 4,268.34

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Solution

The fourth proportional to 5,406.27, 7,458.93 and 4,268.34 is: 5,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.27 : 7,458.93 = 4,268.34 : x
  2. Step 2: Convert to fraction form
    5,406.27/7,458.93 = 4,268.34/x
  3. Step 3: Cross multiply
    5,406.27x = 7,458.93 × 4,268.34
  4. Step 4: Simplify right side
    5,406.27x = 31,837,249.28
  5. Step 5: Solve for x
    x = 31,837,249.28/5,406.27
  6. Step 6: Final answer
    x = 5,888.95

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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.