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Finding the Fourth Proportional to 5,985.50, 8,970.75 and 3,205.28

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Solution

The fourth proportional to 5,985.50, 8,970.75 and 3,205.28 is: 4,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.50 : 8,970.75 = 3,205.28 : x
  2. Step 2: Convert to fraction form
    5,985.50/8,970.75 = 3,205.28/x
  3. Step 3: Cross multiply
    5,985.50x = 8,970.75 × 3,205.28
  4. Step 4: Simplify right side
    5,985.50x = 28,753,765.56
  5. Step 5: Solve for x
    x = 28,753,765.56/5,985.50
  6. Step 6: Final answer
    x = 4,803.90

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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.