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Finding the Fourth Proportional to 3,849.72, 5,776.62 and 2,533.44

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Solution

The fourth proportional to 3,849.72, 5,776.62 and 2,533.44 is: 3,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.72 : 5,776.62 = 2,533.44 : x
  2. Step 2: Convert to fraction form
    3,849.72/5,776.62 = 2,533.44/x
  3. Step 3: Cross multiply
    3,849.72x = 5,776.62 × 2,533.44
  4. Step 4: Simplify right side
    3,849.72x = 14,634,720.17
  5. Step 5: Solve for x
    x = 14,634,720.17/3,849.72
  6. Step 6: Final answer
    x = 3,801.50

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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.