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Finding the Fourth Proportional to 4,620.29, 6,343.74 and 4,500

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Solution

The fourth proportional to 4,620.29, 6,343.74 and 4,500 is: 6,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.29 : 6,343.74 = 4,500 : x
  2. Step 2: Convert to fraction form
    4,620.29/6,343.74 = 4,500/x
  3. Step 3: Cross multiply
    4,620.29x = 6,343.74 × 4,500
  4. Step 4: Simplify right side
    4,620.29x = 28,546,830
  5. Step 5: Solve for x
    x = 28,546,830/4,620.29
  6. Step 6: Final answer
    x = 6,178.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.