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Finding the Fourth Proportional to 6,059, 8,362.32 and 3,407.12

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Solution

The fourth proportional to 6,059, 8,362.32 and 3,407.12 is: 4,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059 : 8,362.32 = 3,407.12 : x
  2. Step 2: Convert to fraction form
    6,059/8,362.32 = 3,407.12/x
  3. Step 3: Cross multiply
    6,059x = 8,362.32 × 3,407.12
  4. Step 4: Simplify right side
    6,059x = 28,491,427.72
  5. Step 5: Solve for x
    x = 28,491,427.72/6,059
  6. Step 6: Final answer
    x = 4,702.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.