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Finding the Fourth Proportional to 5,852.25, 8,779.25 and 2,154.20

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Solution

The fourth proportional to 5,852.25, 8,779.25 and 2,154.20 is: 3,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.25 : 8,779.25 = 2,154.20 : x
  2. Step 2: Convert to fraction form
    5,852.25/8,779.25 = 2,154.20/x
  3. Step 3: Cross multiply
    5,852.25x = 8,779.25 × 2,154.20
  4. Step 4: Simplify right side
    5,852.25x = 18,912,212.75
  5. Step 5: Solve for x
    x = 18,912,212.75/5,852.25
  6. Step 6: Final answer
    x = 3,231.61

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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.