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Finding the Fourth Proportional to 5,294.90, 7,302.56 and 3,971.54

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Solution

The fourth proportional to 5,294.90, 7,302.56 and 3,971.54 is: 5,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.90 : 7,302.56 = 3,971.54 : x
  2. Step 2: Convert to fraction form
    5,294.90/7,302.56 = 3,971.54/x
  3. Step 3: Cross multiply
    5,294.90x = 7,302.56 × 3,971.54
  4. Step 4: Simplify right side
    5,294.90x = 29,002,409.14
  5. Step 5: Solve for x
    x = 29,002,409.14/5,294.90
  6. Step 6: Final answer
    x = 5,477.42

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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.