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Finding the Fourth Proportional to 6,021.70, 9,033 and 1,639.19

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Solution

The fourth proportional to 6,021.70, 9,033 and 1,639.19 is: 2,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.70 : 9,033 = 1,639.19 : x
  2. Step 2: Convert to fraction form
    6,021.70/9,033 = 1,639.19/x
  3. Step 3: Cross multiply
    6,021.70x = 9,033 × 1,639.19
  4. Step 4: Simplify right side
    6,021.70x = 14,806,803.27
  5. Step 5: Solve for x
    x = 14,806,803.27/6,021.70
  6. Step 6: Final answer
    x = 2,458.91

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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.