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Finding the Fourth Proportional to 3,802.46, 5,694.42 and 2,154

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Solution

The fourth proportional to 3,802.46, 5,694.42 and 2,154 is: 3,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.46 : 5,694.42 = 2,154 : x
  2. Step 2: Convert to fraction form
    3,802.46/5,694.42 = 2,154/x
  3. Step 3: Cross multiply
    3,802.46x = 5,694.42 × 2,154
  4. Step 4: Simplify right side
    3,802.46x = 12,265,780.68
  5. Step 5: Solve for x
    x = 12,265,780.68/3,802.46
  6. Step 6: Final answer
    x = 3,225.75

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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.