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Finding the Fourth Proportional to 3,657.65, 5,479.83 and 1,684.94

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Solution

The fourth proportional to 3,657.65, 5,479.83 and 1,684.94 is: 2,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.65 : 5,479.83 = 1,684.94 : x
  2. Step 2: Convert to fraction form
    3,657.65/5,479.83 = 1,684.94/x
  3. Step 3: Cross multiply
    3,657.65x = 5,479.83 × 1,684.94
  4. Step 4: Simplify right side
    3,657.65x = 9,233,157.36
  5. Step 5: Solve for x
    x = 9,233,157.36/3,657.65
  6. Step 6: Final answer
    x = 2,524.34

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1.5x scale

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.