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Finding the Fourth Proportional to 6,841.58, 9,441.38 and 3,697.77

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Solution

The fourth proportional to 6,841.58, 9,441.38 and 3,697.77 is: 5,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.58 : 9,441.38 = 3,697.77 : x
  2. Step 2: Convert to fraction form
    6,841.58/9,441.38 = 3,697.77/x
  3. Step 3: Cross multiply
    6,841.58x = 9,441.38 × 3,697.77
  4. Step 4: Simplify right side
    6,841.58x = 34,912,051.72
  5. Step 5: Solve for x
    x = 34,912,051.72/6,841.58
  6. Step 6: Final answer
    x = 5,102.92

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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.