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Finding the Fourth Proportional to 5,501.76, 7,589.76 and 3,640.32

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Solution

The fourth proportional to 5,501.76, 7,589.76 and 3,640.32 is: 5,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,501.76 : 7,589.76 = 3,640.32 : x
  2. Step 2: Convert to fraction form
    5,501.76/7,589.76 = 3,640.32/x
  3. Step 3: Cross multiply
    5,501.76x = 7,589.76 × 3,640.32
  4. Step 4: Simplify right side
    5,501.76x = 27,629,155.12
  5. Step 5: Solve for x
    x = 27,629,155.12/5,501.76
  6. Step 6: Final answer
    x = 5,021.88

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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.