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Finding the Fourth Proportional to 5,674.56, 8,502.12 and 3,072.84

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Solution

The fourth proportional to 5,674.56, 8,502.12 and 3,072.84 is: 4,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.56 : 8,502.12 = 3,072.84 : x
  2. Step 2: Convert to fraction form
    5,674.56/8,502.12 = 3,072.84/x
  3. Step 3: Cross multiply
    5,674.56x = 8,502.12 × 3,072.84
  4. Step 4: Simplify right side
    5,674.56x = 26,125,654.42
  5. Step 5: Solve for x
    x = 26,125,654.42/5,674.56
  6. Step 6: Final answer
    x = 4,604.00

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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.