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Finding the Fourth Proportional to 5,946.41, 8,206.52 and 3,708.59

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Solution

The fourth proportional to 5,946.41, 8,206.52 and 3,708.59 is: 5,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.41 : 8,206.52 = 3,708.59 : x
  2. Step 2: Convert to fraction form
    5,946.41/8,206.52 = 3,708.59/x
  3. Step 3: Cross multiply
    5,946.41x = 8,206.52 × 3,708.59
  4. Step 4: Simplify right side
    5,946.41x = 30,434,558.43
  5. Step 5: Solve for x
    x = 30,434,558.43/5,946.41
  6. Step 6: Final answer
    x = 5,118.14

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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.