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Finding the Fourth Proportional to 5,694.46, 8,541.70 and 1,745.73

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Solution

The fourth proportional to 5,694.46, 8,541.70 and 1,745.73 is: 2,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.46 : 8,541.70 = 1,745.73 : x
  2. Step 2: Convert to fraction form
    5,694.46/8,541.70 = 1,745.73/x
  3. Step 3: Cross multiply
    5,694.46x = 8,541.70 × 1,745.73
  4. Step 4: Simplify right side
    5,694.46x = 14,911,526.38
  5. Step 5: Solve for x
    x = 14,911,526.38/5,694.46
  6. Step 6: Final answer
    x = 2,618.60

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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.