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Finding the Fourth Proportional to 4,562.96, 6,843 and 2,895.92

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Solution

The fourth proportional to 4,562.96, 6,843 and 2,895.92 is: 4,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.96 : 6,843 = 2,895.92 : x
  2. Step 2: Convert to fraction form
    4,562.96/6,843 = 2,895.92/x
  3. Step 3: Cross multiply
    4,562.96x = 6,843 × 2,895.92
  4. Step 4: Simplify right side
    4,562.96x = 19,816,780.56
  5. Step 5: Solve for x
    x = 19,816,780.56/4,562.96
  6. Step 6: Final answer
    x = 4,342.97

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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.