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Finding the Fourth Proportional to 5,709.33, 8,562.92 and 1,813.77

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Solution

The fourth proportional to 5,709.33, 8,562.92 and 1,813.77 is: 2,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.33 : 8,562.92 = 1,813.77 : x
  2. Step 2: Convert to fraction form
    5,709.33/8,562.92 = 1,813.77/x
  3. Step 3: Cross multiply
    5,709.33x = 8,562.92 × 1,813.77
  4. Step 4: Simplify right side
    5,709.33x = 15,531,158.34
  5. Step 5: Solve for x
    x = 15,531,158.34/5,709.33
  6. Step 6: Final answer
    x = 2,720.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.