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Finding the Fourth Proportional to 3,124.35, 4,311.38 and 1,865.31

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Solution

The fourth proportional to 3,124.35, 4,311.38 and 1,865.31 is: 2,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.35 : 4,311.38 = 1,865.31 : x
  2. Step 2: Convert to fraction form
    3,124.35/4,311.38 = 1,865.31/x
  3. Step 3: Cross multiply
    3,124.35x = 4,311.38 × 1,865.31
  4. Step 4: Simplify right side
    3,124.35x = 8,042,050.90
  5. Step 5: Solve for x
    x = 8,042,050.90/3,124.35
  6. Step 6: Final answer
    x = 2,573.99

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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.