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Finding the Fourth Proportional to 4,916.40, 7,372.50 and 2,282.28

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Solution

The fourth proportional to 4,916.40, 7,372.50 and 2,282.28 is: 3,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.40 : 7,372.50 = 2,282.28 : x
  2. Step 2: Convert to fraction form
    4,916.40/7,372.50 = 2,282.28/x
  3. Step 3: Cross multiply
    4,916.40x = 7,372.50 × 2,282.28
  4. Step 4: Simplify right side
    4,916.40x = 16,826,109.30
  5. Step 5: Solve for x
    x = 16,826,109.30/4,916.40
  6. Step 6: Final answer
    x = 3,422.45

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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.