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Finding the Fourth Proportional to 3,517.34, 4,854 and 1,945.46

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Solution

The fourth proportional to 3,517.34, 4,854 and 1,945.46 is: 2,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.34 : 4,854 = 1,945.46 : x
  2. Step 2: Convert to fraction form
    3,517.34/4,854 = 1,945.46/x
  3. Step 3: Cross multiply
    3,517.34x = 4,854 × 1,945.46
  4. Step 4: Simplify right side
    3,517.34x = 9,443,262.84
  5. Step 5: Solve for x
    x = 9,443,262.84/3,517.34
  6. Step 6: Final answer
    x = 2,684.77

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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.