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Finding the Fourth Proportional to 4,944.64, 6,823.14 and 2,954.80

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Solution

The fourth proportional to 4,944.64, 6,823.14 and 2,954.80 is: 4,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.64 : 6,823.14 = 2,954.80 : x
  2. Step 2: Convert to fraction form
    4,944.64/6,823.14 = 2,954.80/x
  3. Step 3: Cross multiply
    4,944.64x = 6,823.14 × 2,954.80
  4. Step 4: Simplify right side
    4,944.64x = 20,161,014.07
  5. Step 5: Solve for x
    x = 20,161,014.07/4,944.64
  6. Step 6: Final answer
    x = 4,077.35

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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.