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Finding the Fourth Proportional to 3,812.60, 5,261.32 and 2,134

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Solution

The fourth proportional to 3,812.60, 5,261.32 and 2,134 is: 2,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.60 : 5,261.32 = 2,134 : x
  2. Step 2: Convert to fraction form
    3,812.60/5,261.32 = 2,134/x
  3. Step 3: Cross multiply
    3,812.60x = 5,261.32 × 2,134
  4. Step 4: Simplify right side
    3,812.60x = 11,227,656.88
  5. Step 5: Solve for x
    x = 11,227,656.88/3,812.60
  6. Step 6: Final answer
    x = 2,944.88

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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.