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Finding the Fourth Proportional to 3,476.82, 5,214.06 and 1,011

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Solution

The fourth proportional to 3,476.82, 5,214.06 and 1,011 is: 1,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.82 : 5,214.06 = 1,011 : x
  2. Step 2: Convert to fraction form
    3,476.82/5,214.06 = 1,011/x
  3. Step 3: Cross multiply
    3,476.82x = 5,214.06 × 1,011
  4. Step 4: Simplify right side
    3,476.82x = 5,271,414.66
  5. Step 5: Solve for x
    x = 5,271,414.66/3,476.82
  6. Step 6: Final answer
    x = 1,516.16

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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.