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Finding the Fourth Proportional to 5,946.81, 8,206.51 and 3,428.93

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Solution

The fourth proportional to 5,946.81, 8,206.51 and 3,428.93 is: 4,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.81 : 8,206.51 = 3,428.93 : x
  2. Step 2: Convert to fraction form
    5,946.81/8,206.51 = 3,428.93/x
  3. Step 3: Cross multiply
    5,946.81x = 8,206.51 × 3,428.93
  4. Step 4: Simplify right side
    5,946.81x = 28,139,548.33
  5. Step 5: Solve for x
    x = 28,139,548.33/5,946.81
  6. Step 6: Final answer
    x = 4,731.87

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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.