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Finding the Fourth Proportional to 5,238.07, 7,844.14 and 3,040.13

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Solution

The fourth proportional to 5,238.07, 7,844.14 and 3,040.13 is: 4,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.07 : 7,844.14 = 3,040.13 : x
  2. Step 2: Convert to fraction form
    5,238.07/7,844.14 = 3,040.13/x
  3. Step 3: Cross multiply
    5,238.07x = 7,844.14 × 3,040.13
  4. Step 4: Simplify right side
    5,238.07x = 23,847,228.75
  5. Step 5: Solve for x
    x = 23,847,228.75/5,238.07
  6. Step 6: Final answer
    x = 4,552.68

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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.