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Finding the Fourth Proportional to 4,809.60, 7,211.88 and 1,522.62

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Solution

The fourth proportional to 4,809.60, 7,211.88 and 1,522.62 is: 2,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.60 : 7,211.88 = 1,522.62 : x
  2. Step 2: Convert to fraction form
    4,809.60/7,211.88 = 1,522.62/x
  3. Step 3: Cross multiply
    4,809.60x = 7,211.88 × 1,522.62
  4. Step 4: Simplify right side
    4,809.60x = 10,980,952.73
  5. Step 5: Solve for x
    x = 10,980,952.73/4,809.60
  6. Step 6: Final answer
    x = 2,283.13

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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.