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Finding the Fourth Proportional to 6,057, 8,354.61 and 3,697.74

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Solution

The fourth proportional to 6,057, 8,354.61 and 3,697.74 is: 5,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057 : 8,354.61 = 3,697.74 : x
  2. Step 2: Convert to fraction form
    6,057/8,354.61 = 3,697.74/x
  3. Step 3: Cross multiply
    6,057x = 8,354.61 × 3,697.74
  4. Step 4: Simplify right side
    6,057x = 30,893,175.58
  5. Step 5: Solve for x
    x = 30,893,175.58/6,057
  6. Step 6: Final answer
    x = 5,100.41

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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.