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Finding the Fourth Proportional to 4,592.94, 6,338.43 and 2,729.58

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Solution

The fourth proportional to 4,592.94, 6,338.43 and 2,729.58 is: 3,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.94 : 6,338.43 = 2,729.58 : x
  2. Step 2: Convert to fraction form
    4,592.94/6,338.43 = 2,729.58/x
  3. Step 3: Cross multiply
    4,592.94x = 6,338.43 × 2,729.58
  4. Step 4: Simplify right side
    4,592.94x = 17,301,251.76
  5. Step 5: Solve for x
    x = 17,301,251.76/4,592.94
  6. Step 6: Final answer
    x = 3,766.92

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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.