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Finding the Fourth Proportional to 5,693.21, 7,855.19 and 3,175.34

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Solution

The fourth proportional to 5,693.21, 7,855.19 and 3,175.34 is: 4,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.21 : 7,855.19 = 3,175.34 : x
  2. Step 2: Convert to fraction form
    5,693.21/7,855.19 = 3,175.34/x
  3. Step 3: Cross multiply
    5,693.21x = 7,855.19 × 3,175.34
  4. Step 4: Simplify right side
    5,693.21x = 24,942,855.77
  5. Step 5: Solve for x
    x = 24,942,855.77/5,693.21
  6. Step 6: Final answer
    x = 4,381.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.