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Finding the Fourth Proportional to 4,976.85, 7,460.87 and 3,223.20

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Solution

The fourth proportional to 4,976.85, 7,460.87 and 3,223.20 is: 4,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.85 : 7,460.87 = 3,223.20 : x
  2. Step 2: Convert to fraction form
    4,976.85/7,460.87 = 3,223.20/x
  3. Step 3: Cross multiply
    4,976.85x = 7,460.87 × 3,223.20
  4. Step 4: Simplify right side
    4,976.85x = 24,047,860.07
  5. Step 5: Solve for x
    x = 24,047,860.07/4,976.85
  6. Step 6: Final answer
    x = 4,831.94

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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.