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Finding the Fourth Proportional to 4,529.65, 6,790.83 and 4,165.15

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Solution

The fourth proportional to 4,529.65, 6,790.83 and 4,165.15 is: 6,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.65 : 6,790.83 = 4,165.15 : x
  2. Step 2: Convert to fraction form
    4,529.65/6,790.83 = 4,165.15/x
  3. Step 3: Cross multiply
    4,529.65x = 6,790.83 × 4,165.15
  4. Step 4: Simplify right side
    4,529.65x = 28,284,825.57
  5. Step 5: Solve for x
    x = 28,284,825.57/4,529.65
  6. Step 6: Final answer
    x = 6,244.37

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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.