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Finding the Fourth Proportional to 3,749.61, 5,624.63 and 976.29

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Solution

The fourth proportional to 3,749.61, 5,624.63 and 976.29 is: 1,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.61 : 5,624.63 = 976.29 : x
  2. Step 2: Convert to fraction form
    3,749.61/5,624.63 = 976.29/x
  3. Step 3: Cross multiply
    3,749.61x = 5,624.63 × 976.29
  4. Step 4: Simplify right side
    3,749.61x = 5,491,286.23
  5. Step 5: Solve for x
    x = 5,491,286.23/3,749.61
  6. Step 6: Final answer
    x = 1,464.49

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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.