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Finding the Fourth Proportional to 6,182.61, 8,530.47 and 3,665.31

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Solution

The fourth proportional to 6,182.61, 8,530.47 and 3,665.31 is: 5,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.61 : 8,530.47 = 3,665.31 : x
  2. Step 2: Convert to fraction form
    6,182.61/8,530.47 = 3,665.31/x
  3. Step 3: Cross multiply
    6,182.61x = 8,530.47 × 3,665.31
  4. Step 4: Simplify right side
    6,182.61x = 31,266,817.00
  5. Step 5: Solve for x
    x = 31,266,817.00/6,182.61
  6. Step 6: Final answer
    x = 5,057.22

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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.