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Finding the Fourth Proportional to 3,316.32, 4,974.48 and 976.52

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Solution

The fourth proportional to 3,316.32, 4,974.48 and 976.52 is: 1,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.32 : 4,974.48 = 976.52 : x
  2. Step 2: Convert to fraction form
    3,316.32/4,974.48 = 976.52/x
  3. Step 3: Cross multiply
    3,316.32x = 4,974.48 × 976.52
  4. Step 4: Simplify right side
    3,316.32x = 4,857,679.21
  5. Step 5: Solve for x
    x = 4,857,679.21/3,316.32
  6. Step 6: Final answer
    x = 1,464.78

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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.