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Finding the Fourth Proportional to 3,902.06, 5,852.46 and 1,435.60

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Solution

The fourth proportional to 3,902.06, 5,852.46 and 1,435.60 is: 2,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.06 : 5,852.46 = 1,435.60 : x
  2. Step 2: Convert to fraction form
    3,902.06/5,852.46 = 1,435.60/x
  3. Step 3: Cross multiply
    3,902.06x = 5,852.46 × 1,435.60
  4. Step 4: Simplify right side
    3,902.06x = 8,401,791.58
  5. Step 5: Solve for x
    x = 8,401,791.58/3,902.06
  6. Step 6: Final answer
    x = 2,153.17

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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.