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Finding the Fourth Proportional to 4,237.80, 6,359.74 and 3,138.86

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Solution

The fourth proportional to 4,237.80, 6,359.74 and 3,138.86 is: 4,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.80 : 6,359.74 = 3,138.86 : x
  2. Step 2: Convert to fraction form
    4,237.80/6,359.74 = 3,138.86/x
  3. Step 3: Cross multiply
    4,237.80x = 6,359.74 × 3,138.86
  4. Step 4: Simplify right side
    4,237.80x = 19,962,333.50
  5. Step 5: Solve for x
    x = 19,962,333.50/4,237.80
  6. Step 6: Final answer
    x = 4,710.54

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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.