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Finding the Fourth Proportional to 4,251.40, 6,367.84 and 2,055.50

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Solution

The fourth proportional to 4,251.40, 6,367.84 and 2,055.50 is: 3,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.40 : 6,367.84 = 2,055.50 : x
  2. Step 2: Convert to fraction form
    4,251.40/6,367.84 = 2,055.50/x
  3. Step 3: Cross multiply
    4,251.40x = 6,367.84 × 2,055.50
  4. Step 4: Simplify right side
    4,251.40x = 13,089,095.12
  5. Step 5: Solve for x
    x = 13,089,095.12/4,251.40
  6. Step 6: Final answer
    x = 3,078.77

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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.