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Finding the Fourth Proportional to 4,596.86, 6,345.87 and 2,829.98

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Solution

The fourth proportional to 4,596.86, 6,345.87 and 2,829.98 is: 3,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.86 : 6,345.87 = 2,829.98 : x
  2. Step 2: Convert to fraction form
    4,596.86/6,345.87 = 2,829.98/x
  3. Step 3: Cross multiply
    4,596.86x = 6,345.87 × 2,829.98
  4. Step 4: Simplify right side
    4,596.86x = 17,958,685.18
  5. Step 5: Solve for x
    x = 17,958,685.18/4,596.86
  6. Step 6: Final answer
    x = 3,906.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.