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Finding the Fourth Proportional to 3,926.57, 5,894.86 and 2,545.69

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Solution

The fourth proportional to 3,926.57, 5,894.86 and 2,545.69 is: 3,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.57 : 5,894.86 = 2,545.69 : x
  2. Step 2: Convert to fraction form
    3,926.57/5,894.86 = 2,545.69/x
  3. Step 3: Cross multiply
    3,926.57x = 5,894.86 × 2,545.69
  4. Step 4: Simplify right side
    3,926.57x = 15,006,465.05
  5. Step 5: Solve for x
    x = 15,006,465.05/3,926.57
  6. Step 6: Final answer
    x = 3,821.77

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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.