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Finding the Fourth Proportional to 5,740.92, 8,546.13 and 5,472.54

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Solution

The fourth proportional to 5,740.92, 8,546.13 and 5,472.54 is: 8,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.92 : 8,546.13 = 5,472.54 : x
  2. Step 2: Convert to fraction form
    5,740.92/8,546.13 = 5,472.54/x
  3. Step 3: Cross multiply
    5,740.92x = 8,546.13 × 5,472.54
  4. Step 4: Simplify right side
    5,740.92x = 46,769,038.27
  5. Step 5: Solve for x
    x = 46,769,038.27/5,740.92
  6. Step 6: Final answer
    x = 8,146.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.