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Finding the Fourth Proportional to 4,545.66, 6,817.70 and 1,213.96

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Solution

The fourth proportional to 4,545.66, 6,817.70 and 1,213.96 is: 1,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545.66 : 6,817.70 = 1,213.96 : x
  2. Step 2: Convert to fraction form
    4,545.66/6,817.70 = 1,213.96/x
  3. Step 3: Cross multiply
    4,545.66x = 6,817.70 × 1,213.96
  4. Step 4: Simplify right side
    4,545.66x = 8,276,415.09
  5. Step 5: Solve for x
    x = 8,276,415.09/4,545.66
  6. Step 6: Final answer
    x = 1,820.73

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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.