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Finding the Fourth Proportional to 5,150.44, 7,707.18 and 4,459.48

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Solution

The fourth proportional to 5,150.44, 7,707.18 and 4,459.48 is: 6,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.44 : 7,707.18 = 4,459.48 : x
  2. Step 2: Convert to fraction form
    5,150.44/7,707.18 = 4,459.48/x
  3. Step 3: Cross multiply
    5,150.44x = 7,707.18 × 4,459.48
  4. Step 4: Simplify right side
    5,150.44x = 34,370,015.07
  5. Step 5: Solve for x
    x = 34,370,015.07/5,150.44
  6. Step 6: Final answer
    x = 6,673.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.