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Finding the Fourth Proportional to 4,387.86, 6,584.63 and 1,791

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Solution

The fourth proportional to 4,387.86, 6,584.63 and 1,791 is: 2,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.86 : 6,584.63 = 1,791 : x
  2. Step 2: Convert to fraction form
    4,387.86/6,584.63 = 1,791/x
  3. Step 3: Cross multiply
    4,387.86x = 6,584.63 × 1,791
  4. Step 4: Simplify right side
    4,387.86x = 11,793,063.38
  5. Step 5: Solve for x
    x = 11,793,063.38/4,387.86
  6. Step 6: Final answer
    x = 2,687.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.