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Finding the Fourth Proportional to 4,882.80, 6,739.24 and 3,311.40

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Solution

The fourth proportional to 4,882.80, 6,739.24 and 3,311.40 is: 4,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.80 : 6,739.24 = 3,311.40 : x
  2. Step 2: Convert to fraction form
    4,882.80/6,739.24 = 3,311.40/x
  3. Step 3: Cross multiply
    4,882.80x = 6,739.24 × 3,311.40
  4. Step 4: Simplify right side
    4,882.80x = 22,316,319.34
  5. Step 5: Solve for x
    x = 22,316,319.34/4,882.80
  6. Step 6: Final answer
    x = 4,570.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.