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Finding the Fourth Proportional to 5,441.07, 7,509.00 and 3,202.44

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Solution

The fourth proportional to 5,441.07, 7,509.00 and 3,202.44 is: 4,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.07 : 7,509.00 = 3,202.44 : x
  2. Step 2: Convert to fraction form
    5,441.07/7,509.00 = 3,202.44/x
  3. Step 3: Cross multiply
    5,441.07x = 7,509.00 × 3,202.44
  4. Step 4: Simplify right side
    5,441.07x = 24,047,105.81
  5. Step 5: Solve for x
    x = 24,047,105.81/5,441.07
  6. Step 6: Final answer
    x = 4,419.55

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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.