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Finding the Fourth Proportional to 3,202.46, 4,797.31 and 2,545.45

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Solution

The fourth proportional to 3,202.46, 4,797.31 and 2,545.45 is: 3,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.46 : 4,797.31 = 2,545.45 : x
  2. Step 2: Convert to fraction form
    3,202.46/4,797.31 = 2,545.45/x
  3. Step 3: Cross multiply
    3,202.46x = 4,797.31 × 2,545.45
  4. Step 4: Simplify right side
    3,202.46x = 12,211,312.74
  5. Step 5: Solve for x
    x = 12,211,312.74/3,202.46
  6. Step 6: Final answer
    x = 3,813.10

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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.