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Finding the Fourth Proportional to 3,798.85, 5,700.25 and 2,874.14

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Solution

The fourth proportional to 3,798.85, 5,700.25 and 2,874.14 is: 4,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.85 : 5,700.25 = 2,874.14 : x
  2. Step 2: Convert to fraction form
    3,798.85/5,700.25 = 2,874.14/x
  3. Step 3: Cross multiply
    3,798.85x = 5,700.25 × 2,874.14
  4. Step 4: Simplify right side
    3,798.85x = 16,383,291.63
  5. Step 5: Solve for x
    x = 16,383,291.63/3,798.85
  6. Step 6: Final answer
    x = 4,312.70

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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.