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Finding the Fourth Proportional to 4,851.60, 7,275 and 2,252.88

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Solution

The fourth proportional to 4,851.60, 7,275 and 2,252.88 is: 3,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.60 : 7,275 = 2,252.88 : x
  2. Step 2: Convert to fraction form
    4,851.60/7,275 = 2,252.88/x
  3. Step 3: Cross multiply
    4,851.60x = 7,275 × 2,252.88
  4. Step 4: Simplify right side
    4,851.60x = 16,389,702
  5. Step 5: Solve for x
    x = 16,389,702/4,851.60
  6. Step 6: Final answer
    x = 3,378.21

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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.