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Finding the Fourth Proportional to 2,923.86, 4,375.32 and 2,728.35

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Solution

The fourth proportional to 2,923.86, 4,375.32 and 2,728.35 is: 4,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.86 : 4,375.32 = 2,728.35 : x
  2. Step 2: Convert to fraction form
    2,923.86/4,375.32 = 2,728.35/x
  3. Step 3: Cross multiply
    2,923.86x = 4,375.32 × 2,728.35
  4. Step 4: Simplify right side
    2,923.86x = 11,937,394.09
  5. Step 5: Solve for x
    x = 11,937,394.09/2,923.86
  6. Step 6: Final answer
    x = 4,082.75

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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.