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Finding the Fourth Proportional to 5,946.86, 8,205.89 and 3,429.06

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Solution

The fourth proportional to 5,946.86, 8,205.89 and 3,429.06 is: 4,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.86 : 8,205.89 = 3,429.06 : x
  2. Step 2: Convert to fraction form
    5,946.86/8,205.89 = 3,429.06/x
  3. Step 3: Cross multiply
    5,946.86x = 8,205.89 × 3,429.06
  4. Step 4: Simplify right side
    5,946.86x = 28,138,472.02
  5. Step 5: Solve for x
    x = 28,138,472.02/5,946.86
  6. Step 6: Final answer
    x = 4,731.66

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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.