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Finding the Fourth Proportional to 3,735.88, 5,153.70 and 2,902.12

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Solution

The fourth proportional to 3,735.88, 5,153.70 and 2,902.12 is: 4,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.88 : 5,153.70 = 2,902.12 : x
  2. Step 2: Convert to fraction form
    3,735.88/5,153.70 = 2,902.12/x
  3. Step 3: Cross multiply
    3,735.88x = 5,153.70 × 2,902.12
  4. Step 4: Simplify right side
    3,735.88x = 14,956,655.84
  5. Step 5: Solve for x
    x = 14,956,655.84/3,735.88
  6. Step 6: Final answer
    x = 4,003.52

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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.