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Finding the Fourth Proportional to 5,545.34, 8,318.00 and 1,649.74

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Solution

The fourth proportional to 5,545.34, 8,318.00 and 1,649.74 is: 2,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.34 : 8,318.00 = 1,649.74 : x
  2. Step 2: Convert to fraction form
    5,545.34/8,318.00 = 1,649.74/x
  3. Step 3: Cross multiply
    5,545.34x = 8,318.00 × 1,649.74
  4. Step 4: Simplify right side
    5,545.34x = 13,722,561.96
  5. Step 5: Solve for x
    x = 13,722,561.96/5,545.34
  6. Step 6: Final answer
    x = 2,474.61

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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.