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Finding the Fourth Proportional to 5,504.73, 7,597.05 and 3,146.41

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Solution

The fourth proportional to 5,504.73, 7,597.05 and 3,146.41 is: 4,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.73 : 7,597.05 = 3,146.41 : x
  2. Step 2: Convert to fraction form
    5,504.73/7,597.05 = 3,146.41/x
  3. Step 3: Cross multiply
    5,504.73x = 7,597.05 × 3,146.41
  4. Step 4: Simplify right side
    5,504.73x = 23,903,434.09
  5. Step 5: Solve for x
    x = 23,903,434.09/5,504.73
  6. Step 6: Final answer
    x = 4,342.34

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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.