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Finding the Fourth Proportional to 5,551.44, 7,662.24 and 3,783.76

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Solution

The fourth proportional to 5,551.44, 7,662.24 and 3,783.76 is: 5,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,551.44 : 7,662.24 = 3,783.76 : x
  2. Step 2: Convert to fraction form
    5,551.44/7,662.24 = 3,783.76/x
  3. Step 3: Cross multiply
    5,551.44x = 7,662.24 × 3,783.76
  4. Step 4: Simplify right side
    5,551.44x = 28,992,077.22
  5. Step 5: Solve for x
    x = 28,992,077.22/5,551.44
  6. Step 6: Final answer
    x = 5,222.44

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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.