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Finding the Fourth Proportional to 5,057.16, 6,979.20 and 2,819

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Solution

The fourth proportional to 5,057.16, 6,979.20 and 2,819 is: 3,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.16 : 6,979.20 = 2,819 : x
  2. Step 2: Convert to fraction form
    5,057.16/6,979.20 = 2,819/x
  3. Step 3: Cross multiply
    5,057.16x = 6,979.20 × 2,819
  4. Step 4: Simplify right side
    5,057.16x = 19,674,364.80
  5. Step 5: Solve for x
    x = 19,674,364.80/5,057.16
  6. Step 6: Final answer
    x = 3,890.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.