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Finding the Fourth Proportional to 3,306.96, 4,562.10 and 2,047.50

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Solution

The fourth proportional to 3,306.96, 4,562.10 and 2,047.50 is: 2,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.96 : 4,562.10 = 2,047.50 : x
  2. Step 2: Convert to fraction form
    3,306.96/4,562.10 = 2,047.50/x
  3. Step 3: Cross multiply
    3,306.96x = 4,562.10 × 2,047.50
  4. Step 4: Simplify right side
    3,306.96x = 9,340,899.75
  5. Step 5: Solve for x
    x = 9,340,899.75/3,306.96
  6. Step 6: Final answer
    x = 2,824.62

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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.