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Finding the Fourth Proportional to 4,945.76, 6,824.94 and 2,957.40

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Solution

The fourth proportional to 4,945.76, 6,824.94 and 2,957.40 is: 4,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.76 : 6,824.94 = 2,957.40 : x
  2. Step 2: Convert to fraction form
    4,945.76/6,824.94 = 2,957.40/x
  3. Step 3: Cross multiply
    4,945.76x = 6,824.94 × 2,957.40
  4. Step 4: Simplify right side
    4,945.76x = 20,184,077.56
  5. Step 5: Solve for x
    x = 20,184,077.56/4,945.76
  6. Step 6: Final answer
    x = 4,081.09

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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.