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Finding the Fourth Proportional to 3,805.48, 5,710.50 and 1,342.37

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Solution

The fourth proportional to 3,805.48, 5,710.50 and 1,342.37 is: 2,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.48 : 5,710.50 = 1,342.37 : x
  2. Step 2: Convert to fraction form
    3,805.48/5,710.50 = 1,342.37/x
  3. Step 3: Cross multiply
    3,805.48x = 5,710.50 × 1,342.37
  4. Step 4: Simplify right side
    3,805.48x = 7,665,618.16
  5. Step 5: Solve for x
    x = 7,665,618.16/3,805.48
  6. Step 6: Final answer
    x = 2,014.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.