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Finding the Fourth Proportional to 4,206.08, 6,304.08 and 2,971.64

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Solution

The fourth proportional to 4,206.08, 6,304.08 and 2,971.64 is: 4,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.08 : 6,304.08 = 2,971.64 : x
  2. Step 2: Convert to fraction form
    4,206.08/6,304.08 = 2,971.64/x
  3. Step 3: Cross multiply
    4,206.08x = 6,304.08 × 2,971.64
  4. Step 4: Simplify right side
    4,206.08x = 18,733,456.29
  5. Step 5: Solve for x
    x = 18,733,456.29/4,206.08
  6. Step 6: Final answer
    x = 4,453.90

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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.