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Finding the Fourth Proportional to 3,858.24, 5,788.08 and 1,261.92

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Solution

The fourth proportional to 3,858.24, 5,788.08 and 1,261.92 is: 1,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.24 : 5,788.08 = 1,261.92 : x
  2. Step 2: Convert to fraction form
    3,858.24/5,788.08 = 1,261.92/x
  3. Step 3: Cross multiply
    3,858.24x = 5,788.08 × 1,261.92
  4. Step 4: Simplify right side
    3,858.24x = 7,304,093.91
  5. Step 5: Solve for x
    x = 7,304,093.91/3,858.24
  6. Step 6: Final answer
    x = 1,893.12

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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.