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Finding the Fourth Proportional to 5,182.80, 7,774.02 and 2,064.39

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Solution

The fourth proportional to 5,182.80, 7,774.02 and 2,064.39 is: 3,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.80 : 7,774.02 = 2,064.39 : x
  2. Step 2: Convert to fraction form
    5,182.80/7,774.02 = 2,064.39/x
  3. Step 3: Cross multiply
    5,182.80x = 7,774.02 × 2,064.39
  4. Step 4: Simplify right side
    5,182.80x = 16,048,609.15
  5. Step 5: Solve for x
    x = 16,048,609.15/5,182.80
  6. Step 6: Final answer
    x = 3,096.51

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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.