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Finding the Fourth Proportional to 4,342.56, 6,514.47 and 1,745.34

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Solution

The fourth proportional to 4,342.56, 6,514.47 and 1,745.34 is: 2,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.56 : 6,514.47 = 1,745.34 : x
  2. Step 2: Convert to fraction form
    4,342.56/6,514.47 = 1,745.34/x
  3. Step 3: Cross multiply
    4,342.56x = 6,514.47 × 1,745.34
  4. Step 4: Simplify right side
    4,342.56x = 11,369,965.07
  5. Step 5: Solve for x
    x = 11,369,965.07/4,342.56
  6. Step 6: Final answer
    x = 2,618.26

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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.