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Finding the Fourth Proportional to 6,328.87, 8,731.70 and 3,675.31

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Solution

The fourth proportional to 6,328.87, 8,731.70 and 3,675.31 is: 5,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.87 : 8,731.70 = 3,675.31 : x
  2. Step 2: Convert to fraction form
    6,328.87/8,731.70 = 3,675.31/x
  3. Step 3: Cross multiply
    6,328.87x = 8,731.70 × 3,675.31
  4. Step 4: Simplify right side
    6,328.87x = 32,091,677.90
  5. Step 5: Solve for x
    x = 32,091,677.90/6,328.87
  6. Step 6: Final answer
    x = 5,070.68

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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.