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Finding the Fourth Proportional to 3,201.60, 4,797.53 and 2,376

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Solution

The fourth proportional to 3,201.60, 4,797.53 and 2,376 is: 3,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.60 : 4,797.53 = 2,376 : x
  2. Step 2: Convert to fraction form
    3,201.60/4,797.53 = 2,376/x
  3. Step 3: Cross multiply
    3,201.60x = 4,797.53 × 2,376
  4. Step 4: Simplify right side
    3,201.60x = 11,398,931.28
  5. Step 5: Solve for x
    x = 11,398,931.28/3,201.60
  6. Step 6: Final answer
    x = 3,560.39

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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.