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Finding the Fourth Proportional to 4,106.71, 6,157.02 and 1,639.65

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Solution

The fourth proportional to 4,106.71, 6,157.02 and 1,639.65 is: 2,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.71 : 6,157.02 = 1,639.65 : x
  2. Step 2: Convert to fraction form
    4,106.71/6,157.02 = 1,639.65/x
  3. Step 3: Cross multiply
    4,106.71x = 6,157.02 × 1,639.65
  4. Step 4: Simplify right side
    4,106.71x = 10,095,343.22
  5. Step 5: Solve for x
    x = 10,095,343.22/4,106.71
  6. Step 6: Final answer
    x = 2,458.26

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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.