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Finding the Fourth Proportional to 4,947.68, 6,824.64 and 3,455.04

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Solution

The fourth proportional to 4,947.68, 6,824.64 and 3,455.04 is: 4,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.68 : 6,824.64 = 3,455.04 : x
  2. Step 2: Convert to fraction form
    4,947.68/6,824.64 = 3,455.04/x
  3. Step 3: Cross multiply
    4,947.68x = 6,824.64 × 3,455.04
  4. Step 4: Simplify right side
    4,947.68x = 23,579,404.19
  5. Step 5: Solve for x
    x = 23,579,404.19/4,947.68
  6. Step 6: Final answer
    x = 4,765.75

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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.