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Finding the Fourth Proportional to 4,116.80, 5,778.10 and 4,116.80

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Solution

The fourth proportional to 4,116.80, 5,778.10 and 4,116.80 is: 5,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.80 : 5,778.10 = 4,116.80 : x
  2. Step 2: Convert to fraction form
    4,116.80/5,778.10 = 4,116.80/x
  3. Step 3: Cross multiply
    4,116.80x = 5,778.10 × 4,116.80
  4. Step 4: Simplify right side
    4,116.80x = 23,787,282.08
  5. Step 5: Solve for x
    x = 23,787,282.08/4,116.80
  6. Step 6: Final answer
    x = 5,778.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.