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Finding the Fourth Proportional to 5,364.43, 8,047.41 and 1,666.96

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Solution

The fourth proportional to 5,364.43, 8,047.41 and 1,666.96 is: 2,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.43 : 8,047.41 = 1,666.96 : x
  2. Step 2: Convert to fraction form
    5,364.43/8,047.41 = 1,666.96/x
  3. Step 3: Cross multiply
    5,364.43x = 8,047.41 × 1,666.96
  4. Step 4: Simplify right side
    5,364.43x = 13,414,710.57
  5. Step 5: Solve for x
    x = 13,414,710.57/5,364.43
  6. Step 6: Final answer
    x = 2,500.68

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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.