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Finding the Fourth Proportional to 3,728.72, 5,145.46 and 2,156.85

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Solution

The fourth proportional to 3,728.72, 5,145.46 and 2,156.85 is: 2,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.72 : 5,145.46 = 2,156.85 : x
  2. Step 2: Convert to fraction form
    3,728.72/5,145.46 = 2,156.85/x
  3. Step 3: Cross multiply
    3,728.72x = 5,145.46 × 2,156.85
  4. Step 4: Simplify right side
    3,728.72x = 11,097,980.01
  5. Step 5: Solve for x
    x = 11,097,980.01/3,728.72
  6. Step 6: Final answer
    x = 2,976.35

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