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Finding the Fourth Proportional to 5,946.37, 8,205.98 and 3,428.47

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Solution

The fourth proportional to 5,946.37, 8,205.98 and 3,428.47 is: 4,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.37 : 8,205.98 = 3,428.47 : x
  2. Step 2: Convert to fraction form
    5,946.37/8,205.98 = 3,428.47/x
  3. Step 3: Cross multiply
    5,946.37x = 8,205.98 × 3,428.47
  4. Step 4: Simplify right side
    5,946.37x = 28,133,956.25
  5. Step 5: Solve for x
    x = 28,133,956.25/5,946.37
  6. Step 6: Final answer
    x = 4,731.28

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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.