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Finding the Fourth Proportional to 4,666.14, 6,447.47 and 3,729.67

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Solution

The fourth proportional to 4,666.14, 6,447.47 and 3,729.67 is: 5,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.14 : 6,447.47 = 3,729.67 : x
  2. Step 2: Convert to fraction form
    4,666.14/6,447.47 = 3,729.67/x
  3. Step 3: Cross multiply
    4,666.14x = 6,447.47 × 3,729.67
  4. Step 4: Simplify right side
    4,666.14x = 24,046,900.67
  5. Step 5: Solve for x
    x = 24,046,900.67/4,666.14
  6. Step 6: Final answer
    x = 5,153.49

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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.