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Finding the Fourth Proportional to 4,913.69, 6,780.38 and 2,923.86

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Solution

The fourth proportional to 4,913.69, 6,780.38 and 2,923.86 is: 4,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.69 : 6,780.38 = 2,923.86 : x
  2. Step 2: Convert to fraction form
    4,913.69/6,780.38 = 2,923.86/x
  3. Step 3: Cross multiply
    4,913.69x = 6,780.38 × 2,923.86
  4. Step 4: Simplify right side
    4,913.69x = 19,824,888.74
  5. Step 5: Solve for x
    x = 19,824,888.74/4,913.69
  6. Step 6: Final answer
    x = 4,034.63

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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.