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Finding the Fourth Proportional to 3,853.64, 5,318.04 and 2,175.12

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Solution

The fourth proportional to 3,853.64, 5,318.04 and 2,175.12 is: 3,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.64 : 5,318.04 = 2,175.12 : x
  2. Step 2: Convert to fraction form
    3,853.64/5,318.04 = 2,175.12/x
  3. Step 3: Cross multiply
    3,853.64x = 5,318.04 × 2,175.12
  4. Step 4: Simplify right side
    3,853.64x = 11,567,337.70
  5. Step 5: Solve for x
    x = 11,567,337.70/3,853.64
  6. Step 6: Final answer
    x = 3,001.67

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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.