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Finding the Fourth Proportional to 4,343, 6,514.82 and 1,745.95

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Solution

The fourth proportional to 4,343, 6,514.82 and 1,745.95 is: 2,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343 : 6,514.82 = 1,745.95 : x
  2. Step 2: Convert to fraction form
    4,343/6,514.82 = 1,745.95/x
  3. Step 3: Cross multiply
    4,343x = 6,514.82 × 1,745.95
  4. Step 4: Simplify right side
    4,343x = 11,374,549.98
  5. Step 5: Solve for x
    x = 11,374,549.98/4,343
  6. Step 6: Final answer
    x = 2,619.05

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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.