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Finding the Fourth Proportional to 6,542.37, 9,810.25 and 2,158.38

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Solution

The fourth proportional to 6,542.37, 9,810.25 and 2,158.38 is: 3,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.37 : 9,810.25 = 2,158.38 : x
  2. Step 2: Convert to fraction form
    6,542.37/9,810.25 = 2,158.38/x
  3. Step 3: Cross multiply
    6,542.37x = 9,810.25 × 2,158.38
  4. Step 4: Simplify right side
    6,542.37x = 21,174,242.00
  5. Step 5: Solve for x
    x = 21,174,242.00/6,542.37
  6. Step 6: Final answer
    x = 3,236.48

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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.