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Finding the Fourth Proportional to 4,234.02, 6,350 and 1,768.86

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Solution

The fourth proportional to 4,234.02, 6,350 and 1,768.86 is: 2,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.02 : 6,350 = 1,768.86 : x
  2. Step 2: Convert to fraction form
    4,234.02/6,350 = 1,768.86/x
  3. Step 3: Cross multiply
    4,234.02x = 6,350 × 1,768.86
  4. Step 4: Simplify right side
    4,234.02x = 11,232,261
  5. Step 5: Solve for x
    x = 11,232,261/4,234.02
  6. Step 6: Final answer
    x = 2,652.86

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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.