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Finding the Fourth Proportional to 4,862, 7,289.76 and 2,263.52

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Solution

The fourth proportional to 4,862, 7,289.76 and 2,263.52 is: 3,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862 : 7,289.76 = 2,263.52 : x
  2. Step 2: Convert to fraction form
    4,862/7,289.76 = 2,263.52/x
  3. Step 3: Cross multiply
    4,862x = 7,289.76 × 2,263.52
  4. Step 4: Simplify right side
    4,862x = 16,500,517.56
  5. Step 5: Solve for x
    x = 16,500,517.56/4,862
  6. Step 6: Final answer
    x = 3,393.77

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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.