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Finding the Fourth Proportional to 5,133.38, 7,701.22 and 1,846.47

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Solution

The fourth proportional to 5,133.38, 7,701.22 and 1,846.47 is: 2,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.38 : 7,701.22 = 1,846.47 : x
  2. Step 2: Convert to fraction form
    5,133.38/7,701.22 = 1,846.47/x
  3. Step 3: Cross multiply
    5,133.38x = 7,701.22 × 1,846.47
  4. Step 4: Simplify right side
    5,133.38x = 14,220,071.69
  5. Step 5: Solve for x
    x = 14,220,071.69/5,133.38
  6. Step 6: Final answer
    x = 2,770.12

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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.