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Finding the Fourth Proportional to 3,749.82, 5,624.74 and 976.49

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Solution

The fourth proportional to 3,749.82, 5,624.74 and 976.49 is: 1,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.82 : 5,624.74 = 976.49 : x
  2. Step 2: Convert to fraction form
    3,749.82/5,624.74 = 976.49/x
  3. Step 3: Cross multiply
    3,749.82x = 5,624.74 × 976.49
  4. Step 4: Simplify right side
    3,749.82x = 5,492,492.89
  5. Step 5: Solve for x
    x = 5,492,492.89/3,749.82
  6. Step 6: Final answer
    x = 1,464.73

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Similar ratio
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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.