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Finding the Fourth Proportional to 5,977.26, 8,946.72 and 3,196.98

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Solution

The fourth proportional to 5,977.26, 8,946.72 and 3,196.98 is: 4,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.26 : 8,946.72 = 3,196.98 : x
  2. Step 2: Convert to fraction form
    5,977.26/8,946.72 = 3,196.98/x
  3. Step 3: Cross multiply
    5,977.26x = 8,946.72 × 3,196.98
  4. Step 4: Simplify right side
    5,977.26x = 28,602,484.91
  5. Step 5: Solve for x
    x = 28,602,484.91/5,977.26
  6. Step 6: Final answer
    x = 4,785.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.