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Finding the Fourth Proportional to 3,156.35, 4,728.46 and 1,765.47

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Solution

The fourth proportional to 3,156.35, 4,728.46 and 1,765.47 is: 2,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.35 : 4,728.46 = 1,765.47 : x
  2. Step 2: Convert to fraction form
    3,156.35/4,728.46 = 1,765.47/x
  3. Step 3: Cross multiply
    3,156.35x = 4,728.46 × 1,765.47
  4. Step 4: Simplify right side
    3,156.35x = 8,347,949.86
  5. Step 5: Solve for x
    x = 8,347,949.86/3,156.35
  6. Step 6: Final answer
    x = 2,644.81

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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.