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Finding the Fourth Proportional to 5,189.78, 7,784.60 and 2,414.90

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Solution

The fourth proportional to 5,189.78, 7,784.60 and 2,414.90 is: 3,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.78 : 7,784.60 = 2,414.90 : x
  2. Step 2: Convert to fraction form
    5,189.78/7,784.60 = 2,414.90/x
  3. Step 3: Cross multiply
    5,189.78x = 7,784.60 × 2,414.90
  4. Step 4: Simplify right side
    5,189.78x = 18,799,030.54
  5. Step 5: Solve for x
    x = 18,799,030.54/5,189.78
  6. Step 6: Final answer
    x = 3,622.32

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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.