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Finding the Fourth Proportional to 4,945.86, 6,824.16 and 2,956.08

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Solution

The fourth proportional to 4,945.86, 6,824.16 and 2,956.08 is: 4,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.86 : 6,824.16 = 2,956.08 : x
  2. Step 2: Convert to fraction form
    4,945.86/6,824.16 = 2,956.08/x
  3. Step 3: Cross multiply
    4,945.86x = 6,824.16 × 2,956.08
  4. Step 4: Simplify right side
    4,945.86x = 20,172,762.89
  5. Step 5: Solve for x
    x = 20,172,762.89/4,945.86
  6. Step 6: Final answer
    x = 4,078.72

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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.