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Finding the Fourth Proportional to 4,831.80, 7,247.25 and 1,711.14

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Solution

The fourth proportional to 4,831.80, 7,247.25 and 1,711.14 is: 2,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.80 : 7,247.25 = 1,711.14 : x
  2. Step 2: Convert to fraction form
    4,831.80/7,247.25 = 1,711.14/x
  3. Step 3: Cross multiply
    4,831.80x = 7,247.25 × 1,711.14
  4. Step 4: Simplify right side
    4,831.80x = 12,401,059.37
  5. Step 5: Solve for x
    x = 12,401,059.37/4,831.80
  6. Step 6: Final answer
    x = 2,566.55

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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.