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Finding the Fourth Proportional to 5,949.79, 8,924.84 and 2,830.13

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Solution

The fourth proportional to 5,949.79, 8,924.84 and 2,830.13 is: 4,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.79 : 8,924.84 = 2,830.13 : x
  2. Step 2: Convert to fraction form
    5,949.79/8,924.84 = 2,830.13/x
  3. Step 3: Cross multiply
    5,949.79x = 8,924.84 × 2,830.13
  4. Step 4: Simplify right side
    5,949.79x = 25,258,457.43
  5. Step 5: Solve for x
    x = 25,258,457.43/5,949.79
  6. Step 6: Final answer
    x = 4,245.27

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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.