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Finding the Fourth Proportional to 5,496.09, 7,584 and 3,105.81

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Solution

The fourth proportional to 5,496.09, 7,584 and 3,105.81 is: 4,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.09 : 7,584 = 3,105.81 : x
  2. Step 2: Convert to fraction form
    5,496.09/7,584 = 3,105.81/x
  3. Step 3: Cross multiply
    5,496.09x = 7,584 × 3,105.81
  4. Step 4: Simplify right side
    5,496.09x = 23,554,463.04
  5. Step 5: Solve for x
    x = 23,554,463.04/5,496.09
  6. Step 6: Final answer
    x = 4,285.68

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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.