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Finding the Fourth Proportional to 4,952.02, 7,428.24 and 1,831.44

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Solution

The fourth proportional to 4,952.02, 7,428.24 and 1,831.44 is: 2,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.02 : 7,428.24 = 1,831.44 : x
  2. Step 2: Convert to fraction form
    4,952.02/7,428.24 = 1,831.44/x
  3. Step 3: Cross multiply
    4,952.02x = 7,428.24 × 1,831.44
  4. Step 4: Simplify right side
    4,952.02x = 13,604,375.87
  5. Step 5: Solve for x
    x = 13,604,375.87/4,952.02
  6. Step 6: Final answer
    x = 2,747.24

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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.