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Finding the Fourth Proportional to 5,778.40, 8,662.28 and 1,880.80

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Solution

The fourth proportional to 5,778.40, 8,662.28 and 1,880.80 is: 2,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.40 : 8,662.28 = 1,880.80 : x
  2. Step 2: Convert to fraction form
    5,778.40/8,662.28 = 1,880.80/x
  3. Step 3: Cross multiply
    5,778.40x = 8,662.28 × 1,880.80
  4. Step 4: Simplify right side
    5,778.40x = 16,292,016.22
  5. Step 5: Solve for x
    x = 16,292,016.22/5,778.40
  6. Step 6: Final answer
    x = 2,819.47

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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.