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Finding the Fourth Proportional to 3,507.34, 5,261.99 and 1,042.26

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Solution

The fourth proportional to 3,507.34, 5,261.99 and 1,042.26 is: 1,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.34 : 5,261.99 = 1,042.26 : x
  2. Step 2: Convert to fraction form
    3,507.34/5,261.99 = 1,042.26/x
  3. Step 3: Cross multiply
    3,507.34x = 5,261.99 × 1,042.26
  4. Step 4: Simplify right side
    3,507.34x = 5,484,361.70
  5. Step 5: Solve for x
    x = 5,484,361.70/3,507.34
  6. Step 6: Final answer
    x = 1,563.68

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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.