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Finding the Fourth Proportional to 4,614.62, 6,917.06 and 2,301.26

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Solution

The fourth proportional to 4,614.62, 6,917.06 and 2,301.26 is: 3,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.62 : 6,917.06 = 2,301.26 : x
  2. Step 2: Convert to fraction form
    4,614.62/6,917.06 = 2,301.26/x
  3. Step 3: Cross multiply
    4,614.62x = 6,917.06 × 2,301.26
  4. Step 4: Simplify right side
    4,614.62x = 15,917,953.50
  5. Step 5: Solve for x
    x = 15,917,953.50/4,614.62
  6. Step 6: Final answer
    x = 3,449.46

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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.