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Finding the Fourth Proportional to 3,545.53, 5,318.30 and 1,205.79

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Solution

The fourth proportional to 3,545.53, 5,318.30 and 1,205.79 is: 1,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.53 : 5,318.30 = 1,205.79 : x
  2. Step 2: Convert to fraction form
    3,545.53/5,318.30 = 1,205.79/x
  3. Step 3: Cross multiply
    3,545.53x = 5,318.30 × 1,205.79
  4. Step 4: Simplify right side
    3,545.53x = 6,412,752.96
  5. Step 5: Solve for x
    x = 6,412,752.96/3,545.53
  6. Step 6: Final answer
    x = 1,808.69

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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.