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Finding the Fourth Proportional to 4,753.27, 7,130.85 and 1,831.60

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Solution

The fourth proportional to 4,753.27, 7,130.85 and 1,831.60 is: 2,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.27 : 7,130.85 = 1,831.60 : x
  2. Step 2: Convert to fraction form
    4,753.27/7,130.85 = 1,831.60/x
  3. Step 3: Cross multiply
    4,753.27x = 7,130.85 × 1,831.60
  4. Step 4: Simplify right side
    4,753.27x = 13,060,864.86
  5. Step 5: Solve for x
    x = 13,060,864.86/4,753.27
  6. Step 6: Final answer
    x = 2,747.76

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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.