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Finding the Fourth Proportional to 5,876.96, 8,813.22 and 2,365.77

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Solution

The fourth proportional to 5,876.96, 8,813.22 and 2,365.77 is: 3,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.96 : 8,813.22 = 2,365.77 : x
  2. Step 2: Convert to fraction form
    5,876.96/8,813.22 = 2,365.77/x
  3. Step 3: Cross multiply
    5,876.96x = 8,813.22 × 2,365.77
  4. Step 4: Simplify right side
    5,876.96x = 20,850,039.65
  5. Step 5: Solve for x
    x = 20,850,039.65/5,876.96
  6. Step 6: Final answer
    x = 3,547.76

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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.