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Finding the Fourth Proportional to 5,990.09, 8,983.89 and 1,606.50

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Solution

The fourth proportional to 5,990.09, 8,983.89 and 1,606.50 is: 2,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.09 : 8,983.89 = 1,606.50 : x
  2. Step 2: Convert to fraction form
    5,990.09/8,983.89 = 1,606.50/x
  3. Step 3: Cross multiply
    5,990.09x = 8,983.89 × 1,606.50
  4. Step 4: Simplify right side
    5,990.09x = 14,432,619.29
  5. Step 5: Solve for x
    x = 14,432,619.29/5,990.09
  6. Step 6: Final answer
    x = 2,409.42

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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.