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Finding the Fourth Proportional to 4,738.83, 7,108.65 and 1,452.21

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Solution

The fourth proportional to 4,738.83, 7,108.65 and 1,452.21 is: 2,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.83 : 7,108.65 = 1,452.21 : x
  2. Step 2: Convert to fraction form
    4,738.83/7,108.65 = 1,452.21/x
  3. Step 3: Cross multiply
    4,738.83x = 7,108.65 × 1,452.21
  4. Step 4: Simplify right side
    4,738.83x = 10,323,252.62
  5. Step 5: Solve for x
    x = 10,323,252.62/4,738.83
  6. Step 6: Final answer
    x = 2,178.44

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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.