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Finding the Fourth Proportional to 5,581.94, 8,373.11 and 1,686.38

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Solution

The fourth proportional to 5,581.94, 8,373.11 and 1,686.38 is: 2,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.94 : 8,373.11 = 1,686.38 : x
  2. Step 2: Convert to fraction form
    5,581.94/8,373.11 = 1,686.38/x
  3. Step 3: Cross multiply
    5,581.94x = 8,373.11 × 1,686.38
  4. Step 4: Simplify right side
    5,581.94x = 14,120,194.94
  5. Step 5: Solve for x
    x = 14,120,194.94/5,581.94
  6. Step 6: Final answer
    x = 2,529.62

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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.