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Finding the Fourth Proportional to 4,951.72, 7,428.03 and 1,831.60

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Solution

The fourth proportional to 4,951.72, 7,428.03 and 1,831.60 is: 2,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.72 : 7,428.03 = 1,831.60 : x
  2. Step 2: Convert to fraction form
    4,951.72/7,428.03 = 1,831.60/x
  3. Step 3: Cross multiply
    4,951.72x = 7,428.03 × 1,831.60
  4. Step 4: Simplify right side
    4,951.72x = 13,605,179.75
  5. Step 5: Solve for x
    x = 13,605,179.75/4,951.72
  6. Step 6: Final answer
    x = 2,747.57

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Why These Related Problems?

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