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Finding the Fourth Proportional to 3,684.76, 5,084.80 and 2,006.17

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Solution

The fourth proportional to 3,684.76, 5,084.80 and 2,006.17 is: 2,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.76 : 5,084.80 = 2,006.17 : x
  2. Step 2: Convert to fraction form
    3,684.76/5,084.80 = 2,006.17/x
  3. Step 3: Cross multiply
    3,684.76x = 5,084.80 × 2,006.17
  4. Step 4: Simplify right side
    3,684.76x = 10,200,973.22
  5. Step 5: Solve for x
    x = 10,200,973.22/3,684.76
  6. Step 6: Final answer
    x = 2,768.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.