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Finding the Fourth Proportional to 4,809.28, 7,214.40 and 1,522.56

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Solution

The fourth proportional to 4,809.28, 7,214.40 and 1,522.56 is: 2,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.28 : 7,214.40 = 1,522.56 : x
  2. Step 2: Convert to fraction form
    4,809.28/7,214.40 = 1,522.56/x
  3. Step 3: Cross multiply
    4,809.28x = 7,214.40 × 1,522.56
  4. Step 4: Simplify right side
    4,809.28x = 10,984,356.86
  5. Step 5: Solve for x
    x = 10,984,356.86/4,809.28
  6. Step 6: Final answer
    x = 2,283.99

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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.