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Finding the Fourth Proportional to 3,805.08, 5,702.31 and 1,462.56

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Solution

The fourth proportional to 3,805.08, 5,702.31 and 1,462.56 is: 2,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.08 : 5,702.31 = 1,462.56 : x
  2. Step 2: Convert to fraction form
    3,805.08/5,702.31 = 1,462.56/x
  3. Step 3: Cross multiply
    3,805.08x = 5,702.31 × 1,462.56
  4. Step 4: Simplify right side
    3,805.08x = 8,339,970.51
  5. Step 5: Solve for x
    x = 8,339,970.51/3,805.08
  6. Step 6: Final answer
    x = 2,191.80

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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.