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Finding the Fourth Proportional to 3,671.96, 5,510.69 and 2,287.31

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Solution

The fourth proportional to 3,671.96, 5,510.69 and 2,287.31 is: 3,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.96 : 5,510.69 = 2,287.31 : x
  2. Step 2: Convert to fraction form
    3,671.96/5,510.69 = 2,287.31/x
  3. Step 3: Cross multiply
    3,671.96x = 5,510.69 × 2,287.31
  4. Step 4: Simplify right side
    3,671.96x = 12,604,644.91
  5. Step 5: Solve for x
    x = 12,604,644.91/3,671.96
  6. Step 6: Final answer
    x = 3,432.67

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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.