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Finding the Fourth Proportional to 4,729.64, 7,100.73 and 4,040.73

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Solution

The fourth proportional to 4,729.64, 7,100.73 and 4,040.73 is: 6,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.64 : 7,100.73 = 4,040.73 : x
  2. Step 2: Convert to fraction form
    4,729.64/7,100.73 = 4,040.73/x
  3. Step 3: Cross multiply
    4,729.64x = 7,100.73 × 4,040.73
  4. Step 4: Simplify right side
    4,729.64x = 28,692,132.73
  5. Step 5: Solve for x
    x = 28,692,132.73/4,729.64
  6. Step 6: Final answer
    x = 6,066.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.