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Finding the Fourth Proportional to 4,476.29, 6,178.02 and 3,729.07

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Solution

The fourth proportional to 4,476.29, 6,178.02 and 3,729.07 is: 5,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.29 : 6,178.02 = 3,729.07 : x
  2. Step 2: Convert to fraction form
    4,476.29/6,178.02 = 3,729.07/x
  3. Step 3: Cross multiply
    4,476.29x = 6,178.02 × 3,729.07
  4. Step 4: Simplify right side
    4,476.29x = 23,038,238.15
  5. Step 5: Solve for x
    x = 23,038,238.15/4,476.29
  6. Step 6: Final answer
    x = 5,146.73

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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.