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Finding the Fourth Proportional to 5,309.04, 7,328.52 and 3,817.20

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Solution

The fourth proportional to 5,309.04, 7,328.52 and 3,817.20 is: 5,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.04 : 7,328.52 = 3,817.20 : x
  2. Step 2: Convert to fraction form
    5,309.04/7,328.52 = 3,817.20/x
  3. Step 3: Cross multiply
    5,309.04x = 7,328.52 × 3,817.20
  4. Step 4: Simplify right side
    5,309.04x = 27,974,426.54
  5. Step 5: Solve for x
    x = 27,974,426.54/5,309.04
  6. Step 6: Final answer
    x = 5,269.21

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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.