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Finding the Fourth Proportional to 4,816.96, 6,646.56 and 2,954.56

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Solution

The fourth proportional to 4,816.96, 6,646.56 and 2,954.56 is: 4,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.96 : 6,646.56 = 2,954.56 : x
  2. Step 2: Convert to fraction form
    4,816.96/6,646.56 = 2,954.56/x
  3. Step 3: Cross multiply
    4,816.96x = 6,646.56 × 2,954.56
  4. Step 4: Simplify right side
    4,816.96x = 19,637,660.31
  5. Step 5: Solve for x
    x = 19,637,660.31/4,816.96
  6. Step 6: Final answer
    x = 4,076.77

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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.