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Finding the Fourth Proportional to 4,135.92, 6,203.80 and 1,057.92

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Solution

The fourth proportional to 4,135.92, 6,203.80 and 1,057.92 is: 1,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.92 : 6,203.80 = 1,057.92 : x
  2. Step 2: Convert to fraction form
    4,135.92/6,203.80 = 1,057.92/x
  3. Step 3: Cross multiply
    4,135.92x = 6,203.80 × 1,057.92
  4. Step 4: Simplify right side
    4,135.92x = 6,563,124.10
  5. Step 5: Solve for x
    x = 6,563,124.10/4,135.92
  6. Step 6: Final answer
    x = 1,586.86

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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.