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Finding the Fourth Proportional to 5,500.56, 7,584.99 and 4,159.26

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Solution

The fourth proportional to 5,500.56, 7,584.99 and 4,159.26 is: 5,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.56 : 7,584.99 = 4,159.26 : x
  2. Step 2: Convert to fraction form
    5,500.56/7,584.99 = 4,159.26/x
  3. Step 3: Cross multiply
    5,500.56x = 7,584.99 × 4,159.26
  4. Step 4: Simplify right side
    5,500.56x = 31,547,945.51
  5. Step 5: Solve for x
    x = 31,547,945.51/5,500.56
  6. Step 6: Final answer
    x = 5,735.41

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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.