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Finding the Fourth Proportional to 5,617, 8,414.43 and 2,835.46

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Solution

The fourth proportional to 5,617, 8,414.43 and 2,835.46 is: 4,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617 : 8,414.43 = 2,835.46 : x
  2. Step 2: Convert to fraction form
    5,617/8,414.43 = 2,835.46/x
  3. Step 3: Cross multiply
    5,617x = 8,414.43 × 2,835.46
  4. Step 4: Simplify right side
    5,617x = 23,858,779.69
  5. Step 5: Solve for x
    x = 23,858,779.69/5,617
  6. Step 6: Final answer
    x = 4,247.60

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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.