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Finding the Fourth Proportional to 4,874.80, 7,313 and 2,409.16

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Solution

The fourth proportional to 4,874.80, 7,313 and 2,409.16 is: 3,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.80 : 7,313 = 2,409.16 : x
  2. Step 2: Convert to fraction form
    4,874.80/7,313 = 2,409.16/x
  3. Step 3: Cross multiply
    4,874.80x = 7,313 × 2,409.16
  4. Step 4: Simplify right side
    4,874.80x = 17,618,187.08
  5. Step 5: Solve for x
    x = 17,618,187.08/4,874.80
  6. Step 6: Final answer
    x = 3,614.14

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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.