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Finding the Fourth Proportional to 5,077.84, 7,614.02 and 2,739.10

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Solution

The fourth proportional to 5,077.84, 7,614.02 and 2,739.10 is: 4,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.84 : 7,614.02 = 2,739.10 : x
  2. Step 2: Convert to fraction form
    5,077.84/7,614.02 = 2,739.10/x
  3. Step 3: Cross multiply
    5,077.84x = 7,614.02 × 2,739.10
  4. Step 4: Simplify right side
    5,077.84x = 20,855,549.99
  5. Step 5: Solve for x
    x = 20,855,549.99/5,077.84
  6. Step 6: Final answer
    x = 4,107.17

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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.