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Finding the Fourth Proportional to 5,763.09, 8,644.60 and 2,302.77

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Solution

The fourth proportional to 5,763.09, 8,644.60 and 2,302.77 is: 3,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.09 : 8,644.60 = 2,302.77 : x
  2. Step 2: Convert to fraction form
    5,763.09/8,644.60 = 2,302.77/x
  3. Step 3: Cross multiply
    5,763.09x = 8,644.60 × 2,302.77
  4. Step 4: Simplify right side
    5,763.09x = 19,906,525.54
  5. Step 5: Solve for x
    x = 19,906,525.54/5,763.09
  6. Step 6: Final answer
    x = 3,454.14

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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.