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Finding the Fourth Proportional to 3,507.62, 5,261.76 and 1,427.29

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Solution

The fourth proportional to 3,507.62, 5,261.76 and 1,427.29 is: 2,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.62 : 5,261.76 = 1,427.29 : x
  2. Step 2: Convert to fraction form
    3,507.62/5,261.76 = 1,427.29/x
  3. Step 3: Cross multiply
    3,507.62x = 5,261.76 × 1,427.29
  4. Step 4: Simplify right side
    3,507.62x = 7,510,044.28
  5. Step 5: Solve for x
    x = 7,510,044.28/3,507.62
  6. Step 6: Final answer
    x = 2,141.07

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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.