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Finding the Fourth Proportional to 3,055.52, 4,582.70 and 863.72

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Solution

The fourth proportional to 3,055.52, 4,582.70 and 863.72 is: 1,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.52 : 4,582.70 = 863.72 : x
  2. Step 2: Convert to fraction form
    3,055.52/4,582.70 = 863.72/x
  3. Step 3: Cross multiply
    3,055.52x = 4,582.70 × 863.72
  4. Step 4: Simplify right side
    3,055.52x = 3,958,165.33
  5. Step 5: Solve for x
    x = 3,958,165.33/3,055.52
  6. Step 6: Final answer
    x = 1,295.41

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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.