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Finding the Fourth Proportional to 5,770.40, 8,662.08 and 2,310.08

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Solution

The fourth proportional to 5,770.40, 8,662.08 and 2,310.08 is: 3,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.40 : 8,662.08 = 2,310.08 : x
  2. Step 2: Convert to fraction form
    5,770.40/8,662.08 = 2,310.08/x
  3. Step 3: Cross multiply
    5,770.40x = 8,662.08 × 2,310.08
  4. Step 4: Simplify right side
    5,770.40x = 20,010,097.77
  5. Step 5: Solve for x
    x = 20,010,097.77/5,770.40
  6. Step 6: Final answer
    x = 3,467.71

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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.