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Finding the Fourth Proportional to 4,476.79, 6,178.71 and 3,729.57

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Solution

The fourth proportional to 4,476.79, 6,178.71 and 3,729.57 is: 5,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.79 : 6,178.71 = 3,729.57 : x
  2. Step 2: Convert to fraction form
    4,476.79/6,178.71 = 3,729.57/x
  3. Step 3: Cross multiply
    4,476.79x = 6,178.71 × 3,729.57
  4. Step 4: Simplify right side
    4,476.79x = 23,043,931.45
  5. Step 5: Solve for x
    x = 23,043,931.45/4,476.79
  6. Step 6: Final answer
    x = 5,147.42

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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.