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Finding the Fourth Proportional to 3,054.56, 4,582.13 and 863.33

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Solution

The fourth proportional to 3,054.56, 4,582.13 and 863.33 is: 1,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.56 : 4,582.13 = 863.33 : x
  2. Step 2: Convert to fraction form
    3,054.56/4,582.13 = 863.33/x
  3. Step 3: Cross multiply
    3,054.56x = 4,582.13 × 863.33
  4. Step 4: Simplify right side
    3,054.56x = 3,955,863.07
  5. Step 5: Solve for x
    x = 3,955,863.07/3,054.56
  6. Step 6: Final answer
    x = 1,295.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.