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Finding the Fourth Proportional to 3,834.24, 5,751.12 and 1,782.24

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Solution

The fourth proportional to 3,834.24, 5,751.12 and 1,782.24 is: 2,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.24 : 5,751.12 = 1,782.24 : x
  2. Step 2: Convert to fraction form
    3,834.24/5,751.12 = 1,782.24/x
  3. Step 3: Cross multiply
    3,834.24x = 5,751.12 × 1,782.24
  4. Step 4: Simplify right side
    3,834.24x = 10,249,876.11
  5. Step 5: Solve for x
    x = 10,249,876.11/3,834.24
  6. Step 6: Final answer
    x = 2,673.25

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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.