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Finding the Fourth Proportional to 3,852.72, 5,779.44 and 1,255.68

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Solution

The fourth proportional to 3,852.72, 5,779.44 and 1,255.68 is: 1,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.72 : 5,779.44 = 1,255.68 : x
  2. Step 2: Convert to fraction form
    3,852.72/5,779.44 = 1,255.68/x
  3. Step 3: Cross multiply
    3,852.72x = 5,779.44 × 1,255.68
  4. Step 4: Simplify right side
    3,852.72x = 7,257,127.22
  5. Step 5: Solve for x
    x = 7,257,127.22/3,852.72
  6. Step 6: Final answer
    x = 1,883.64

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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.