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Finding the Fourth Proportional to 5,129.98, 7,689.33 and 2,009.41

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Solution

The fourth proportional to 5,129.98, 7,689.33 and 2,009.41 is: 3,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.98 : 7,689.33 = 2,009.41 : x
  2. Step 2: Convert to fraction form
    5,129.98/7,689.33 = 2,009.41/x
  3. Step 3: Cross multiply
    5,129.98x = 7,689.33 × 2,009.41
  4. Step 4: Simplify right side
    5,129.98x = 15,450,986.72
  5. Step 5: Solve for x
    x = 15,450,986.72/5,129.98
  6. Step 6: Final answer
    x = 3,011.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.