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Finding the Fourth Proportional to 4,242.65, 5,852.83 and 2,826.99

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Solution

The fourth proportional to 4,242.65, 5,852.83 and 2,826.99 is: 3,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.65 : 5,852.83 = 2,826.99 : x
  2. Step 2: Convert to fraction form
    4,242.65/5,852.83 = 2,826.99/x
  3. Step 3: Cross multiply
    4,242.65x = 5,852.83 × 2,826.99
  4. Step 4: Simplify right side
    4,242.65x = 16,545,891.88
  5. Step 5: Solve for x
    x = 16,545,891.88/4,242.65
  6. Step 6: Final answer
    x = 3,899.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.