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Finding the Fourth Proportional to 3,515.64, 4,852.17 and 2,380.80

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Solution

The fourth proportional to 3,515.64, 4,852.17 and 2,380.80 is: 3,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.64 : 4,852.17 = 2,380.80 : x
  2. Step 2: Convert to fraction form
    3,515.64/4,852.17 = 2,380.80/x
  3. Step 3: Cross multiply
    3,515.64x = 4,852.17 × 2,380.80
  4. Step 4: Simplify right side
    3,515.64x = 11,552,046.34
  5. Step 5: Solve for x
    x = 11,552,046.34/3,515.64
  6. Step 6: Final answer
    x = 3,285.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.