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Finding the Fourth Proportional to 3,852.60, 5,777.55 and 2,003.10

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Solution

The fourth proportional to 3,852.60, 5,777.55 and 2,003.10 is: 3,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.60 : 5,777.55 = 2,003.10 : x
  2. Step 2: Convert to fraction form
    3,852.60/5,777.55 = 2,003.10/x
  3. Step 3: Cross multiply
    3,852.60x = 5,777.55 × 2,003.10
  4. Step 4: Simplify right side
    3,852.60x = 11,573,010.41
  5. Step 5: Solve for x
    x = 11,573,010.41/3,852.60
  6. Step 6: Final answer
    x = 3,003.95

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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.