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Finding the Fourth Proportional to 5,609.50, 8,415.72 and 2,799.16

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Solution

The fourth proportional to 5,609.50, 8,415.72 and 2,799.16 is: 4,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.50 : 8,415.72 = 2,799.16 : x
  2. Step 2: Convert to fraction form
    5,609.50/8,415.72 = 2,799.16/x
  3. Step 3: Cross multiply
    5,609.50x = 8,415.72 × 2,799.16
  4. Step 4: Simplify right side
    5,609.50x = 23,556,946.80
  5. Step 5: Solve for x
    x = 23,556,946.80/5,609.50
  6. Step 6: Final answer
    x = 4,199.47

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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.