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Finding the Fourth Proportional to 3,476.99, 5,217.17 and 1,528.94

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Solution

The fourth proportional to 3,476.99, 5,217.17 and 1,528.94 is: 2,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.99 : 5,217.17 = 1,528.94 : x
  2. Step 2: Convert to fraction form
    3,476.99/5,217.17 = 1,528.94/x
  3. Step 3: Cross multiply
    3,476.99x = 5,217.17 × 1,528.94
  4. Step 4: Simplify right side
    3,476.99x = 7,976,706.17
  5. Step 5: Solve for x
    x = 7,976,706.17/3,476.99
  6. Step 6: Final answer
    x = 2,294.14

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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.