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Finding the Fourth Proportional to 4,780.51, 7,168.03 and 2,834.08

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Solution

The fourth proportional to 4,780.51, 7,168.03 and 2,834.08 is: 4,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.51 : 7,168.03 = 2,834.08 : x
  2. Step 2: Convert to fraction form
    4,780.51/7,168.03 = 2,834.08/x
  3. Step 3: Cross multiply
    4,780.51x = 7,168.03 × 2,834.08
  4. Step 4: Simplify right side
    4,780.51x = 20,314,745.46
  5. Step 5: Solve for x
    x = 20,314,745.46/4,780.51
  6. Step 6: Final answer
    x = 4,249.50

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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.