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Finding the Fourth Proportional to 3,527.12, 4,865.46 and 3,276.83

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Solution

The fourth proportional to 3,527.12, 4,865.46 and 3,276.83 is: 4,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.12 : 4,865.46 = 3,276.83 : x
  2. Step 2: Convert to fraction form
    3,527.12/4,865.46 = 3,276.83/x
  3. Step 3: Cross multiply
    3,527.12x = 4,865.46 × 3,276.83
  4. Step 4: Simplify right side
    3,527.12x = 15,943,285.29
  5. Step 5: Solve for x
    x = 15,943,285.29/3,527.12
  6. Step 6: Final answer
    x = 4,520.20

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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.