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Finding the Fourth Proportional to 3,803.64, 5,705.46 and 3,738.84

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Solution

The fourth proportional to 3,803.64, 5,705.46 and 3,738.84 is: 5,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.64 : 5,705.46 = 3,738.84 : x
  2. Step 2: Convert to fraction form
    3,803.64/5,705.46 = 3,738.84/x
  3. Step 3: Cross multiply
    3,803.64x = 5,705.46 × 3,738.84
  4. Step 4: Simplify right side
    3,803.64x = 21,331,802.07
  5. Step 5: Solve for x
    x = 21,331,802.07/3,803.64
  6. Step 6: Final answer
    x = 5,608.26

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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.