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Finding the Fourth Proportional to 5,949.85, 8,924.85 and 2,830.18

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Solution

The fourth proportional to 5,949.85, 8,924.85 and 2,830.18 is: 4,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.85 : 8,924.85 = 2,830.18 : x
  2. Step 2: Convert to fraction form
    5,949.85/8,924.85 = 2,830.18/x
  3. Step 3: Cross multiply
    5,949.85x = 8,924.85 × 2,830.18
  4. Step 4: Simplify right side
    5,949.85x = 25,258,931.97
  5. Step 5: Solve for x
    x = 25,258,931.97/5,949.85
  6. Step 6: Final answer
    x = 4,245.31

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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.