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Finding the Fourth Proportional to 3,476.56, 5,215.08 and 1,011.40

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Solution

The fourth proportional to 3,476.56, 5,215.08 and 1,011.40 is: 1,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.56 : 5,215.08 = 1,011.40 : x
  2. Step 2: Convert to fraction form
    3,476.56/5,215.08 = 1,011.40/x
  3. Step 3: Cross multiply
    3,476.56x = 5,215.08 × 1,011.40
  4. Step 4: Simplify right side
    3,476.56x = 5,274,531.91
  5. Step 5: Solve for x
    x = 5,274,531.91/3,476.56
  6. Step 6: Final answer
    x = 1,517.17

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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.