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Finding the Fourth Proportional to 4,934.16, 7,401.17 and 1,471.41

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Solution

The fourth proportional to 4,934.16, 7,401.17 and 1,471.41 is: 2,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.16 : 7,401.17 = 1,471.41 : x
  2. Step 2: Convert to fraction form
    4,934.16/7,401.17 = 1,471.41/x
  3. Step 3: Cross multiply
    4,934.16x = 7,401.17 × 1,471.41
  4. Step 4: Simplify right side
    4,934.16x = 10,890,155.55
  5. Step 5: Solve for x
    x = 10,890,155.55/4,934.16
  6. Step 6: Final answer
    x = 2,207.09

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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.