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Finding the Fourth Proportional to 5,920.94, 8,171.54 and 3,403.16

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Solution

The fourth proportional to 5,920.94, 8,171.54 and 3,403.16 is: 4,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.94 : 8,171.54 = 3,403.16 : x
  2. Step 2: Convert to fraction form
    5,920.94/8,171.54 = 3,403.16/x
  3. Step 3: Cross multiply
    5,920.94x = 8,171.54 × 3,403.16
  4. Step 4: Simplify right side
    5,920.94x = 27,809,000.19
  5. Step 5: Solve for x
    x = 27,809,000.19/5,920.94
  6. Step 6: Final answer
    x = 4,696.72

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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.