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Finding the Fourth Proportional to 5,304.90, 7,321.56 and 3,817.74

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Solution

The fourth proportional to 5,304.90, 7,321.56 and 3,817.74 is: 5,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.90 : 7,321.56 = 3,817.74 : x
  2. Step 2: Convert to fraction form
    5,304.90/7,321.56 = 3,817.74/x
  3. Step 3: Cross multiply
    5,304.90x = 7,321.56 × 3,817.74
  4. Step 4: Simplify right side
    5,304.90x = 27,951,812.47
  5. Step 5: Solve for x
    x = 27,951,812.47/5,304.90
  6. Step 6: Final answer
    x = 5,269.06

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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.