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Finding the Fourth Proportional to 3,858.64, 5,788.20 and 1,550.14

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Solution

The fourth proportional to 3,858.64, 5,788.20 and 1,550.14 is: 2,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.64 : 5,788.20 = 1,550.14 : x
  2. Step 2: Convert to fraction form
    3,858.64/5,788.20 = 1,550.14/x
  3. Step 3: Cross multiply
    3,858.64x = 5,788.20 × 1,550.14
  4. Step 4: Simplify right side
    3,858.64x = 8,972,520.35
  5. Step 5: Solve for x
    x = 8,972,520.35/3,858.64
  6. Step 6: Final answer
    x = 2,325.31

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1.5x scale

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.