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Finding the Fourth Proportional to 3,852.36, 5,779.02 and 1,512.44

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Solution

The fourth proportional to 3,852.36, 5,779.02 and 1,512.44 is: 2,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.36 : 5,779.02 = 1,512.44 : x
  2. Step 2: Convert to fraction form
    3,852.36/5,779.02 = 1,512.44/x
  3. Step 3: Cross multiply
    3,852.36x = 5,779.02 × 1,512.44
  4. Step 4: Simplify right side
    3,852.36x = 8,740,421.01
  5. Step 5: Solve for x
    x = 8,740,421.01/3,852.36
  6. Step 6: Final answer
    x = 2,268.85

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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.