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Finding the Fourth Proportional to 4,199,693, 5,797,367.74 and 2,823,834.20

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Solution

The fourth proportional to 4,199,693, 5,797,367.74 and 2,823,834.20 is: 3,898,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,693 : 5,797,367.74 = 2,823,834.20 : x
  2. Step 2: Convert to fraction form
    4,199,693/5,797,367.74 = 2,823,834.20/x
  3. Step 3: Cross multiply
    4,199,693x = 5,797,367.74 × 2,823,834.20
  4. Step 4: Simplify right side
    4,199,693x = 16,370,805,294,188.71
  5. Step 5: Solve for x
    x = 16,370,805,294,188.71/4,199,693
  6. Step 6: Final answer
    x = 3,898,095.72

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