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Finding the Fourth Proportional to 5,291.73, 7,302.86 and 3,474.14

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Solution

The fourth proportional to 5,291.73, 7,302.86 and 3,474.14 is: 4,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.73 : 7,302.86 = 3,474.14 : x
  2. Step 2: Convert to fraction form
    5,291.73/7,302.86 = 3,474.14/x
  3. Step 3: Cross multiply
    5,291.73x = 7,302.86 × 3,474.14
  4. Step 4: Simplify right side
    5,291.73x = 25,371,158.26
  5. Step 5: Solve for x
    x = 25,371,158.26/5,291.73
  6. Step 6: Final answer
    x = 4,794.49

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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.