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Finding the Fourth Proportional to 4,596, 6,887.79 and 2,512.86

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Solution

The fourth proportional to 4,596, 6,887.79 and 2,512.86 is: 3,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596 : 6,887.79 = 2,512.86 : x
  2. Step 2: Convert to fraction form
    4,596/6,887.79 = 2,512.86/x
  3. Step 3: Cross multiply
    4,596x = 6,887.79 × 2,512.86
  4. Step 4: Simplify right side
    4,596x = 17,308,051.98
  5. Step 5: Solve for x
    x = 17,308,051.98/4,596
  6. Step 6: Final answer
    x = 3,765.89

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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.