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Finding the Fourth Proportional to 4,055.64, 6,083.42 and 1,282.31

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Solution

The fourth proportional to 4,055.64, 6,083.42 and 1,282.31 is: 1,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.64 : 6,083.42 = 1,282.31 : x
  2. Step 2: Convert to fraction form
    4,055.64/6,083.42 = 1,282.31/x
  3. Step 3: Cross multiply
    4,055.64x = 6,083.42 × 1,282.31
  4. Step 4: Simplify right side
    4,055.64x = 7,800,838.72
  5. Step 5: Solve for x
    x = 7,800,838.72/4,055.64
  6. Step 6: Final answer
    x = 1,923.45

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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.