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Finding the Fourth Proportional to 4,473.96, 6,706.32 and 3,238.30

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Solution

The fourth proportional to 4,473.96, 6,706.32 and 3,238.30 is: 4,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.96 : 6,706.32 = 3,238.30 : x
  2. Step 2: Convert to fraction form
    4,473.96/6,706.32 = 3,238.30/x
  3. Step 3: Cross multiply
    4,473.96x = 6,706.32 × 3,238.30
  4. Step 4: Simplify right side
    4,473.96x = 21,717,076.06
  5. Step 5: Solve for x
    x = 21,717,076.06/4,473.96
  6. Step 6: Final answer
    x = 4,854.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.