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Finding the Fourth Proportional to 4,809.59, 7,213.76 and 1,522.70

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Solution

The fourth proportional to 4,809.59, 7,213.76 and 1,522.70 is: 2,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.59 : 7,213.76 = 1,522.70 : x
  2. Step 2: Convert to fraction form
    4,809.59/7,213.76 = 1,522.70/x
  3. Step 3: Cross multiply
    4,809.59x = 7,213.76 × 1,522.70
  4. Step 4: Simplify right side
    4,809.59x = 10,984,384.74
  5. Step 5: Solve for x
    x = 10,984,384.74/4,809.59
  6. Step 6: Final answer
    x = 2,283.85

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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.