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Finding the Fourth Proportional to 4,142.67, 6,214.10 and 1,545.09

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Solution

The fourth proportional to 4,142.67, 6,214.10 and 1,545.09 is: 2,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.67 : 6,214.10 = 1,545.09 : x
  2. Step 2: Convert to fraction form
    4,142.67/6,214.10 = 1,545.09/x
  3. Step 3: Cross multiply
    4,142.67x = 6,214.10 × 1,545.09
  4. Step 4: Simplify right side
    4,142.67x = 9,601,336.04
  5. Step 5: Solve for x
    x = 9,601,336.04/4,142.67
  6. Step 6: Final answer
    x = 2,317.67

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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.