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Finding the Fourth Proportional to 4,761.66, 7,133.85 and 3,733.50

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Solution

The fourth proportional to 4,761.66, 7,133.85 and 3,733.50 is: 5,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.66 : 7,133.85 = 3,733.50 : x
  2. Step 2: Convert to fraction form
    4,761.66/7,133.85 = 3,733.50/x
  3. Step 3: Cross multiply
    4,761.66x = 7,133.85 × 3,733.50
  4. Step 4: Simplify right side
    4,761.66x = 26,634,228.98
  5. Step 5: Solve for x
    x = 26,634,228.98/4,761.66
  6. Step 6: Final answer
    x = 5,593.48

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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.