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Finding the Fourth Proportional to 3,202.97, 4,798.05 and 2,545.95

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Solution

The fourth proportional to 3,202.97, 4,798.05 and 2,545.95 is: 3,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.97 : 4,798.05 = 2,545.95 : x
  2. Step 2: Convert to fraction form
    3,202.97/4,798.05 = 2,545.95/x
  3. Step 3: Cross multiply
    3,202.97x = 4,798.05 × 2,545.95
  4. Step 4: Simplify right side
    3,202.97x = 12,215,595.40
  5. Step 5: Solve for x
    x = 12,215,595.40/3,202.97
  6. Step 6: Final answer
    x = 3,813.84

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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.