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Finding the Fourth Proportional to 6,586.94, 9,090.36 and 3,755.18

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Solution

The fourth proportional to 6,586.94, 9,090.36 and 3,755.18 is: 5,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.94 : 9,090.36 = 3,755.18 : x
  2. Step 2: Convert to fraction form
    6,586.94/9,090.36 = 3,755.18/x
  3. Step 3: Cross multiply
    6,586.94x = 9,090.36 × 3,755.18
  4. Step 4: Simplify right side
    6,586.94x = 34,135,938.06
  5. Step 5: Solve for x
    x = 34,135,938.06/6,586.94
  6. Step 6: Final answer
    x = 5,182.37

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Why These Related Problems?

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