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Finding the Fourth Proportional to 4,769.86, 6,582.40 and 2,906.86

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Solution

The fourth proportional to 4,769.86, 6,582.40 and 2,906.86 is: 4,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.86 : 6,582.40 = 2,906.86 : x
  2. Step 2: Convert to fraction form
    4,769.86/6,582.40 = 2,906.86/x
  3. Step 3: Cross multiply
    4,769.86x = 6,582.40 × 2,906.86
  4. Step 4: Simplify right side
    4,769.86x = 19,134,115.26
  5. Step 5: Solve for x
    x = 19,134,115.26/4,769.86
  6. Step 6: Final answer
    x = 4,011.46

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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.