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Finding the Fourth Proportional to 5,836.50, 8,051.82 and 3,710.90

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Solution

The fourth proportional to 5,836.50, 8,051.82 and 3,710.90 is: 5,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.50 : 8,051.82 = 3,710.90 : x
  2. Step 2: Convert to fraction form
    5,836.50/8,051.82 = 3,710.90/x
  3. Step 3: Cross multiply
    5,836.50x = 8,051.82 × 3,710.90
  4. Step 4: Simplify right side
    5,836.50x = 29,879,458.58
  5. Step 5: Solve for x
    x = 29,879,458.58/5,836.50
  6. Step 6: Final answer
    x = 5,119.41

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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.