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Finding the Fourth Proportional to 5,909.80, 8,856.34 and 3,278.46

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Solution

The fourth proportional to 5,909.80, 8,856.34 and 3,278.46 is: 4,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.80 : 8,856.34 = 3,278.46 : x
  2. Step 2: Convert to fraction form
    5,909.80/8,856.34 = 3,278.46/x
  3. Step 3: Cross multiply
    5,909.80x = 8,856.34 × 3,278.46
  4. Step 4: Simplify right side
    5,909.80x = 29,035,156.44
  5. Step 5: Solve for x
    x = 29,035,156.44/5,909.80
  6. Step 6: Final answer
    x = 4,913.05

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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.