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Finding the Fourth Proportional to 5,489.10, 7,568.91 and 3,496.50

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Solution

The fourth proportional to 5,489.10, 7,568.91 and 3,496.50 is: 4,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.10 : 7,568.91 = 3,496.50 : x
  2. Step 2: Convert to fraction form
    5,489.10/7,568.91 = 3,496.50/x
  3. Step 3: Cross multiply
    5,489.10x = 7,568.91 × 3,496.50
  4. Step 4: Simplify right side
    5,489.10x = 26,464,693.82
  5. Step 5: Solve for x
    x = 26,464,693.82/5,489.10
  6. Step 6: Final answer
    x = 4,821.32

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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.