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Finding the Fourth Proportional to 5,071.08, 6,996.96 and 3,207

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Solution

The fourth proportional to 5,071.08, 6,996.96 and 3,207 is: 4,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.08 : 6,996.96 = 3,207 : x
  2. Step 2: Convert to fraction form
    5,071.08/6,996.96 = 3,207/x
  3. Step 3: Cross multiply
    5,071.08x = 6,996.96 × 3,207
  4. Step 4: Simplify right side
    5,071.08x = 22,439,250.72
  5. Step 5: Solve for x
    x = 22,439,250.72/5,071.08
  6. Step 6: Final answer
    x = 4,424.95

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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.