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Finding the Fourth Proportional to 3,852.02, 5,773.98 and 1,900.19

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Solution

The fourth proportional to 3,852.02, 5,773.98 and 1,900.19 is: 2,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.02 : 5,773.98 = 1,900.19 : x
  2. Step 2: Convert to fraction form
    3,852.02/5,773.98 = 1,900.19/x
  3. Step 3: Cross multiply
    3,852.02x = 5,773.98 × 1,900.19
  4. Step 4: Simplify right side
    3,852.02x = 10,971,659.06
  5. Step 5: Solve for x
    x = 10,971,659.06/3,852.02
  6. Step 6: Final answer
    x = 2,848.29

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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.