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Finding the Fourth Proportional to 4,749.88, 7,119.75 and 2,411.62

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Solution

The fourth proportional to 4,749.88, 7,119.75 and 2,411.62 is: 3,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.88 : 7,119.75 = 2,411.62 : x
  2. Step 2: Convert to fraction form
    4,749.88/7,119.75 = 2,411.62/x
  3. Step 3: Cross multiply
    4,749.88x = 7,119.75 × 2,411.62
  4. Step 4: Simplify right side
    4,749.88x = 17,170,131.50
  5. Step 5: Solve for x
    x = 17,170,131.50/4,749.88
  6. Step 6: Final answer
    x = 3,614.86

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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.