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Finding the Fourth Proportional to 6,586.80, 9,090.64 and 3,755.20

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Solution

The fourth proportional to 6,586.80, 9,090.64 and 3,755.20 is: 5,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.80 : 9,090.64 = 3,755.20 : x
  2. Step 2: Convert to fraction form
    6,586.80/9,090.64 = 3,755.20/x
  3. Step 3: Cross multiply
    6,586.80x = 9,090.64 × 3,755.20
  4. Step 4: Simplify right side
    6,586.80x = 34,137,171.33
  5. Step 5: Solve for x
    x = 34,137,171.33/6,586.80
  6. Step 6: Final answer
    x = 5,182.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.