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Finding the Fourth Proportional to 3,778.44, 5,696.65 and 3,524.34

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Solution

The fourth proportional to 3,778.44, 5,696.65 and 3,524.34 is: 5,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.44 : 5,696.65 = 3,524.34 : x
  2. Step 2: Convert to fraction form
    3,778.44/5,696.65 = 3,524.34/x
  3. Step 3: Cross multiply
    3,778.44x = 5,696.65 × 3,524.34
  4. Step 4: Simplify right side
    3,778.44x = 20,076,931.46
  5. Step 5: Solve for x
    x = 20,076,931.46/3,778.44
  6. Step 6: Final answer
    x = 5,313.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.