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Finding the Fourth Proportional to 3,902.01, 5,852.94 and 1,435.86

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Solution

The fourth proportional to 3,902.01, 5,852.94 and 1,435.86 is: 2,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.01 : 5,852.94 = 1,435.86 : x
  2. Step 2: Convert to fraction form
    3,902.01/5,852.94 = 1,435.86/x
  3. Step 3: Cross multiply
    3,902.01x = 5,852.94 × 1,435.86
  4. Step 4: Simplify right side
    3,902.01x = 8,404,002.43
  5. Step 5: Solve for x
    x = 8,404,002.43/3,902.01
  6. Step 6: Final answer
    x = 2,153.76

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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.